Imperial College London
Professor David Helm

ProfessorDavidHelm

Faculty of Natural Sciences, Department of Mathematics

Professor of Mathematics
 
 
 
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Contact

 

d.helm

 
 
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Location

 

672Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Helm:2016:10.1017/fms.2016.10,
author = {Helm, D},
doi = {10.1017/fms.2016.10},
journal = {Forum of Mathematics, Sigma},
title = {The Bernstein Center of the category of smooth W(k)[GLn(F)]-modules},
url = {http://dx.doi.org/10.1017/fms.2016.10},
volume = {4},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We consider the category of smooth -modules, where is a -adic field and is an algebraically closed field of characteristic different from  . We describe a factorization of this category into blocks, and show that the center of each such block is a reduced, -torsion free, finite type -algebra. Moreover, the -points of the center of a such a block are in bijection with the possible ‘supercuspidal supports’ of the smooth -modules that lie in the block. Finally, we describe a large explicit subalgebra of the center of each block and give a description of the action of this algebra on the simple objects of the block, in terms of the description of the classical ‘characteristic zero’ Bernstein center of Bernstein and Deligne [Le ‘centre’ de Bernstein, in Representations des groups redutifs sur un corps local, Traveaux en cours (ed. P. Deligne) (Hermann, Paris), 1–32].
AU  - Helm,D
DO  - 10.1017/fms.2016.10
PY  - 2016///
SN  - 2050-5094
TI  - The Bernstein Center of the category of smooth W(k)[GLn(F)]-modules
T2  - Forum of Mathematics, Sigma
UR  - http://dx.doi.org/10.1017/fms.2016.10
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000377239900002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/53526
VL  - 4
ER  -
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