Statements (96)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical Theory
|
| gptkbp:appliesTo |
gptkb:Topological_Groups
Lie Algebras Groups Finite Groups Algebras Associative Algebras Quantum Groups |
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:hasApplication |
gptkb:Physics
gptkb:algebraic_geometry gptkb:geometry gptkb:Crystallography gptkb:Quantum_Mechanics gptkb:Number_Theory gptkb:Coding_Theory Chemistry Combinatorics Harmonic Analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Representation Theory
|
| gptkbp:notableIdea |
gptkb:Fourier_Transform
gptkb:Young_Tableaux Weight Module Root System Affine Lie Algebra Algebraic Group Representation Artin–Wedderburn Theorem Block Theory Borel Subgroup Branching Rule Brauer Character Burnside's Theorem Cartan Subalgebra Casimir Operator Categorification Character Theory Clifford Theory Crystal Basis Deligne Category Derived Category Direct Sum Decomposition Frobenius Reciprocity Fusion Category Gelfand Pair Geometric Representation Theory Green Correspondence Group Action Group Algebra Hecke Algebra Highest Weight Category Highest Weight Representation Induced Representation Irreducible Representation Kazhdan–Lusztig Theory Langlands Program Mackey Theory Maschke's Theorem Modular Representation Modular Tensor Category Monoidal Category Morita Equivalence Orthogonal Group Representation Perverse Sheaf Peter–Weyl Theorem Plancherel Theorem Projective Representation Quantum Group Quiver Representation Reductive Group Representation Ring Schur Functor Schur's Lemma Schur–Weyl Duality Semisimple Algebra Simple Module Spectral Theorem Spin Representation Superalgebra Representation Symmetric Group Representation Symplectic Group Representation Tannakian Category Tensor Category Tensor Product Tilting Module Unitary Representation Universal Enveloping Algebra Verma Module Weyl Group |
| gptkbp:studies |
Abstract Algebraic Structures
|
| gptkbp:uses |
gptkb:Linear_Algebra
gptkb:Category_Theory Homological Algebra Module Theory |
| gptkbp:bfsParent |
gptkb:Graduate_Studies_in_Mathematics
|
| gptkbp:bfsLayer |
7
|