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 Vigneras.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
