Statements (68)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematician
|
| gptkbp:associatedWith |
symmetric groups
quadratic relations |
| gptkbp:field |
2^n
|
| gptkbp:hasArea |
standard basis
|
| gptkbp:hasBranchesIn |
type D Hecke algebras
|
| gptkbp:hasGenre |
T_i
|
| gptkbp:hasRelatedPatent |
mathematical physics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hecke algebras of type B
|
| gptkbp:is_studied_in |
symmetric polynomials
geometric structures |
| gptkbp:isAssociatedWith |
orthogonal groups
|
| gptkbp:isAvenueFor |
gptkb:quantum_groups
cryptography theoretical physics computational mathematics data science |
| gptkbp:isCharacterizedBy |
root systems
symmetry properties combinatorial structures braid relations Hecke_relations |
| gptkbp:isCitedBy |
matrix representations
generating functions algebraic relations linear_transformations |
| gptkbp:isConnectedTo |
gptkb:spherical_Hecke_algebras
Lie algebras representation of symmetric groups representation of quantum groups representation of Lie groups representation of algebraic groups Kac-Moody_algebras |
| gptkbp:isInvolvedIn |
geometric representation theory
|
| gptkbp:isPartOf |
theory of partitions
algebraic structures theory of algebraic varieties representation theory of groups theory of modules |
| gptkbp:isRelatedTo |
true
symmetric functions abstract algebra topological groups combinatorial geometry finite groups combinatorial algebra affine_Hecke_algebras |
| gptkbp:isStudiedIn |
differential geometry
category theory mathematical analysis topology discrete mathematics algebraic_combinatorics |
| gptkbp:isUsedBy |
algebraic topology
invariant theory modular representations |
| gptkbp:isUsedIn |
mathematical modeling
number theory mathematical logic functional analysis categorification combinatorial representation theory mathematical_statistics |
| gptkbp:isValuedFor |
field of rational numbers
|
| gptkbp:relatedTo |
Coxeter groups
|
| gptkbp:standardFeatures |
type_A_Hecke_algebras
|
| gptkbp:tuning |
parameter q
|
| gptkbp:usedIn |
representation theory
|