Statements (93)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:theoretical_physics
quantum mechanics representation theory operator algebras |
| gptkbp:contrastsWith |
gptkb:commutative_algebra
|
| gptkbp:hasConcept |
gptkb:Weyl_algebra
gptkb:division gptkb:knowledge_representation gptkb:Artin–Wedderburn_theorem gptkb:Artinian_ring gptkb:C*-algebra gptkb:Krull–Schmidt_theorem gptkb:Schur's_lemma gptkb:Lie_group gptkb:Azumaya_algebra gptkb:Jacobson_radical gptkb:Wedderburn's_theorem gptkb:Jacobson_density_theorem gptkb:Morita_equivalence gptkb:Sklyanin_algebra gptkb:quantum_cluster_algebra Noetherian ring universal enveloping algebra injective module module theory projective module Ore condition endomorphism ring enveloping algebra graded algebra PI ring center of a ring path algebra primitive ring semisimple ring simple ring skew field group ring quantum group coalgebra crossed product simple module bialgebra quiver algebra quantum enveloping algebra quantum group algebra quantum plane noncommutative torus Goldie's theorem density theorem faithful module filtered algebra free associative algebra noncommutative multiplication noncommutative polynomial ring prime ring quantum Grassmannian quantum Heisenberg algebra quantum Schubert cell quantum Weyl algebra quantum affine space quantum coordinate ring quantum determinantal ring quantum exterior algebra quantum flag variety quantum matrix algebra quantum minors quantum polynomial algebra quantum projective space quantum sphere quantum symmetric algebra quantum symplectic space quantum torus |
| https://www.w3.org/2000/01/rdf-schema#label |
Noncommutative algebra
|
| gptkbp:includes |
noncommutative geometry
noncommutative ring theory noncommutative group theory noncommutative algebraic geometry |
| gptkbp:relatedTo |
noncommutative invariant theory
noncommutative probability noncommutative topology |
| gptkbp:studies |
gptkb:Hopf_algebras
gptkb:Lie_algebras quaternion algebra algebraic structures where multiplication is not commutative group algebras algebras over a field matrix algebras free algebras division rings |
| gptkbp:bfsParent |
gptkb:Enveloping_Algebras
|
| gptkbp:bfsLayer |
7
|