Statements (105)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Lie_algebras
gptkb:Lie_groups gptkb:quivers gptkb:symmetric_groups groups associative algebras finite groups algebras |
| gptkbp:hasApplication |
gptkb:geometry
chemistry coding theory crystallography number theory physics quantum mechanics statistics combinatorics |
| gptkbp:hasConcept |
gptkb:Weyl_group
gptkb:model gptkb:automorphic_representation gptkb:symmetry gptkb:Artin–Wedderburn_theorem gptkb:Frobenius_reciprocity gptkb:Langlands_program gptkb:Peter–Weyl_theorem gptkb:Schur's_lemma gptkb:Casimir_operator gptkb:root gptkb:Hecke_algebra gptkb:Borel–Weil–Bott_theorem gptkb:Burnside's_theorem gptkb:Kazhdan–Lusztig_conjecture gptkb:Maschke's_theorem gptkb:Verma_module gptkb:Young_tableau gptkb:Tannakian_category gptkb:monodromy_representation gptkb:Brauer_character gptkb:Clifford_theory gptkb:Deligne_category gptkb:Specht_module direct sum decomposition adjoint representation representation ring modular group tensor product character table induced representation irreducible representation projective representation quiver representation unitary representation weight space character theory group algebra highest weight theory group action Galois representation block theory branching rule dual representation endomorphism algebra faithful representation modular representation moduli space of representations permutation representation representation dimension representation functor representation of Hopf algebras representation of Lie superalgebras representation of algebraic groups representation of algebras representation of alternating groups representation of compact groups representation of cyclic groups representation of dihedral groups representation of finite fields representation of infinite groups representation of matrix groups representation of nilpotent groups representation of p-adic groups representation of quantum groups representation of quivers representation of reductive groups representation of solvable groups representation of symmetric groups representation type representation variety semisimple representation simple module |
| gptkbp:hasSubfield |
modular representation theory
Lie algebra representation theory Lie group representation theory finite group representation theory infinite-dimensional representation theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Representation theory
|
| gptkbp:studies |
abstract algebraic structures
|
| gptkbp:uses |
gptkb:category_theory
linear algebra homological algebra module theory |
| gptkbp:bfsParent |
gptkb:group_of_people
gptkb:lion |
| gptkbp:bfsLayer |
4
|