Coefficient Systems on the Bruhat-Tits Building and Pro-$p$ Iwahori-Hecke Modules Paperback / softback
by Jan Kohlhaase
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
Let G be the group of rational points of a split connected reductive group over a nonarchimedean local field of residue characteristic p.LetI be a pro-p Iwahori subgroup of G and let R be a commutative quasi-Frobenius ring.
If H = R[I\G/I] denotes the pro-p Iwahori- Hecke algebra of G over R we clarify the relation between the category of H-modules and the category of G-equivariant coefficient systems on the semisimple Bruhat-Tits building of G.IfR is a field of characteristic zero this yields alternative proofs of the exactness of the Schneider-Stuhler resolution and of the Zelevinski conjecture for smooth G-representations generated by their I-invariants.
In general, it gives a description of the derived category of H-modules in terms of smooth G-representations and yields a functor to generalized (?, ?)-modules extending the constructions of Colmez, Schneider and Vign´eras.
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:69 pages
- Publisher:American Mathematical Society
- Publication Date:30/11/2022
- Category:
- ISBN:9781470453763
Other Formats
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Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:69 pages
- Publisher:American Mathematical Society
- Publication Date:30/11/2022
- Category:
- ISBN:9781470453763
