Statements (46)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematician
|
| gptkbp:associatedWith |
gptkb:quantum_groups
symmetric groups |
| gptkbp:canLeadTo |
the study of combinatorial identities
the theory of symmetric polynomials |
| gptkbp:defines |
parameterized by a parameter q
|
| gptkbp:diedIn |
Kazhdan-Lusztig theory
|
| gptkbp:exhibits |
braid_group_actions
|
| gptkbp:foodPairing |
Hecke_relations
|
| gptkbp:hasArea |
basis elements indexed by permutations
|
| gptkbp:hasMajorCity |
to_other_Hecke_algebras
|
| gptkbp:hasNationality |
n! for the symmetric group S_n
|
| gptkbp:hasRelatedPatent |
mathematical physics
number theory the study of quantum groups |
| gptkbp:hasVisitorCenter |
a commutative subalgebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hecke algebras of type A
|
| gptkbp:isAccessibleBy |
the symmetric group S_n
|
| gptkbp:isConnectedTo |
geometric representation theory
the theory of affine Lie algebras the theory of symmetric polynomials the_theory_of_Schur_functions |
| gptkbp:isCounteredBy |
matrices over a field
|
| gptkbp:isEvaluatedBy |
a deformation parameter q
|
| gptkbp:isInvolvedIn |
the study of algebraic geometry
the study of algebraic topology the study of symmetric functions |
| gptkbp:isMaintainedBy |
the_Hecke_operators
|
| gptkbp:isOftenAccompaniedBy |
group algebras of symmetric groups when q=1
|
| gptkbp:isPartOf |
the theory of algebraic groups
|
| gptkbp:isRelatedTo |
the theory of modular forms
the theory of automorphic forms affine Weyl groups |
| gptkbp:isStudiedIn |
the context of algebraic geometry
algebraic_combinatorics the_context_of_algebraic_combinatorics |
| gptkbp:isUsedBy |
modular representations
|
| gptkbp:isUsedIn |
the theory of modular forms
combinatorial representation theory the representation theory of p-adic groups the study of symmetric functions |
| gptkbp:mayHave |
the representation theory of Lie algebras
|
| gptkbp:occursAnnually |
true
|
| gptkbp:relatedTo |
Coxeter groups
|
| gptkbp:standardFeatures |
group algebras
|
| gptkbp:usedIn |
representation theory
|