| 
                                    
                                        gptkbp:instanceOf
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:algebra
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:basisFor
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Clifford_basis
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:category
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:associative_algebra
                                        
                                         
                                    
                                        
                                            gptkb:non-commutative_algebra
                                        
                                         
                                    
                                        
                                            
                                            graded algebra
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:definedIn
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Vector
                                        
                                         
                                    
                                        
                                            
                                            quadratic form
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:field
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:mathematics
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:generalizes
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:algebra
                                        
                                         
                                    
                                        
                                            gptkb:Grassmann_algebra
                                        
                                         
                                    
                                        
                                            
                                            quaternions
                                        
                                        
                                         
                                    
                                        
                                            
                                            complex numbers
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:hasApplication
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:computer_graphics
                                        
                                         
                                    
                                        
                                            
                                            cryptography
                                        
                                        
                                         
                                    
                                        
                                            
                                            quantum mechanics
                                        
                                        
                                         
                                    
                                        
                                            
                                            robotics
                                        
                                        
                                         
                                    
                                        
                                            
                                            spin geometry
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:hasSubfield
                                    
                                 | 
                                
                                    
                                        
                                            
                                            abstract algebra
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:hasType
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:complex_Clifford_algebra
                                        
                                         
                                    
                                        
                                            gptkb:real_Clifford_algebra
                                        
                                         
                                    
                                        
                                            
                                            modular Clifford algebra
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:introducedIn
                                    
                                 | 
                                
                                    
                                        
                                            
                                            1878
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:namedAfter
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:William_Kingdon_Clifford
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:relatedConcept
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Bott_periodicity
                                        
                                         
                                    
                                        
                                            gptkb:Clifford's_theorem
                                        
                                         
                                    
                                        
                                            gptkb:Clifford_analysis
                                        
                                         
                                    
                                        
                                            gptkb:Clifford_module
                                        
                                         
                                    
                                        
                                            gptkb:Clifford_torus
                                        
                                         
                                    
                                        
                                            gptkb:Clifford_bundle
                                        
                                         
                                    
                                        
                                            gptkb:Pin_group
                                        
                                         
                                    
                                        
                                            gptkb:Brauer_group
                                        
                                         
                                    
                                        
                                            gptkb:Clifford_group
                                        
                                         
                                    
                                        
                                            gptkb:orthogonal_group
                                        
                                         
                                    
                                        
                                            gptkb:Dirac_algebra
                                        
                                         
                                    
                                        
                                            gptkb:Pauli_algebra
                                        
                                         
                                    
                                        
                                            gptkb:Clifford's_inequality
                                        
                                         
                                    
                                        
                                            
                                            geometric algebra
                                        
                                        
                                         
                                    
                                        
                                            
                                            Clifford transformation
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:relatedTo
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:geometry
                                        
                                         
                                    
                                        
                                            gptkb:Lie_algebras
                                        
                                         
                                    
                                        
                                            
                                            quadratic forms
                                        
                                        
                                         
                                    
                                        
                                            
                                            spinors
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:usedIn
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:theoretical_physics
                                        
                                         
                                    
                                        
                                            
                                            differential geometry
                                        
                                        
                                         
                                    
                                        
                                            
                                            representation theory
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:bfsParent
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Bott_periodicity
                                        
                                         
                                    
                                        
                                            gptkb:octonions
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:bfsLayer
                                    
                                 | 
                                
                                    
                                        
                                            
                                            6
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        https://www.w3.org/2000/01/rdf-schema#label
                                    
                                 | 
                                
                                    
                                        
                                            
                                            Clifford algebras
                                        
                                        
                                         
                                    
                                 |