Statements (55)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
algebraic structures
|
| gptkbp:appliesTo |
gptkb:quantum_groups
the study of modular forms. the study of automorphic representations |
| gptkbp:associated_with |
symmetric groups
automorphic forms |
| gptkbp:can_be |
matrices
|
| gptkbp:defines |
finite groups
|
| gptkbp:designatedAs |
parameters
|
| gptkbp:has_a_role_in |
number theory
|
| gptkbp:hasPrograms |
mathematical physics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hecke algebras
|
| gptkbp:is_a |
C*-algebra
|
| gptkbp:is_designed_to |
root systems
|
| gptkbp:is_essential_for |
representation theory of p-adic groups
the study of modular forms the representation theory of algebraic groups the representation theory of finite groups the understanding of Galois representations |
| gptkbp:is_recognized_for |
fields
rings |
| gptkbp:is_studied_in |
abstract algebra
homological algebra modular forms random walks character theory noncommutative geometry the theory of motives modular representations the structure of groups the geometry of numbers the structure of algebras the_theory_of_algebraic_cycles |
| gptkbp:is_used_in |
gptkb:Hecke_algebras_of_type_A
gptkb:Hecke_algebras_of_type_B algebraic geometry representation theory the theory of partitions the study of algebraic topology combinatorial representation theory Hecke categories Hecke modules |
| gptkbp:isConnectedTo |
the theory of algebraic groups
the theory of symmetric polynomials Hecke_operators the_Langlands_program the_theory_of_algebraic_cycles |
| gptkbp:previousName |
gptkb:Helmut_Hecke
|
| gptkbp:related_to |
symmetric functions
modular forms the theory of modular forms Lie algebras spherical functions the theory of algebraic varieties |
| gptkbp:standardFeatures |
group algebras
|