Abelian Galois cohomology of reductive groups

1998 ◽  
Vol 132 (626) ◽  
pp. 0-0 ◽  
Author(s):  
Mikhail Borovoi
Keyword(s):  
Galois Cohomology ◽  
Reductive Groups

The Distributions in the Invariant Trace Formula Are Supported on Characters

2000 ◽  
Vol 52 (4) ◽  
pp. 804-814 ◽  
Author(s):  
Robert E. Kottwitz ◽  
Jonathan D. Rogawski
Keyword(s):  
Trace Formula ◽  
Galois Cohomology ◽  
Invariant Form ◽  
Reductive Groups ◽  
Connected Case

AbstractJ. Arthur put the trace formula in invariant form for all connected reductive groups and certain disconnected ones. However his work was written so as to apply to the general disconnected case, modulo two missing ingredients. This paper supplies one of those missing ingredients, namely an argument in Galois cohomology of a kind first used by D. Kazhdan in the connected case.

scholarly journals Galois cohomology of real quasi-connected reductive groups

2022 ◽  
Author(s):  
Mikhail Borovoi ◽  
Andrei A. Gornitskii ◽  
Zev Rosengarten
Keyword(s):  
Galois Cohomology ◽  
Reductive Groups

scholarly journals STEENROD OPERATIONS ON THE DE RHAM COHOMOLOGY OF ALGEBRAIC STACKS

2021 ◽  
pp. 1-48
Author(s):  
Federico Scavia
Keyword(s):  
Finite Groups ◽  
Reductive Groups ◽  
Orthogonal Groups ◽  
De Rham Cohomology ◽  
Algebraic Stacks ◽  
Steenrod Operations ◽  
De Rham

Abstract Building upon work of Epstein, May and Drury, we define and investigate the mod p Steenrod operations on the de Rham cohomology of smooth algebraic stacks over a field of characteristic $p>0$ . We then compute the action of the operations on the de Rham cohomology of classifying stacks for finite groups, connected reductive groups for which p is not a torsion prime and (special) orthogonal groups when $p=2$ .

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