The cohomology of \(SL_ 2(F_ p)\) and the Hecke algebra actions

DOI10.2996/kmj/1138037273zbMath0608.20029OpenAlexW1980514914MaRDI QIDQ1086357

Michishige Tazuka

Publication date: 1986

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037273

zbMATH Keywords

double cosetscohomology groupsymmetric algebraBorel subgroupHecke algebra actions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Cohomology of groups (20J06) Cohomology theory for linear algebraic groups (20G10)

Related Items (3)

Cohomology of finite chevalley groups with coefficients in modules with 1-dimensional weight spaces ⋮ A generalization of Ramanujan's congruence to modular forms of prime level ⋮ 1-cohomologies of a special linear group with coefficients in a module of truncated polynomials

Cites Work

• The \(p\)-period of a finite group
• The mod p cohomology ring of \(GL_ 3(F_ p)\)
• The cohomology of the \(GL_2\) of a finite field
• Cohomology of finite groups of Lie type. I
• On the Chern Classes of Representations of Finite Groups
• The Integral Cohomology Rings of Groups of Order p 3
• Hecke operators in cohomology of groups
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