dc.contributor.author |
Adler, Jeffrey D. |
en_US |
dc.contributor.author |
MISHRA, MANISH |
en_US |
dc.date.accessioned |
2021-03-31T10:45:56Z |
|
dc.date.available |
2021-03-31T10:45:56Z |
|
dc.date.issued |
2021-06 |
en_US |
dc.identifier.citation |
Journal Fur Die Reine Und Angewandte Mathematik, 2021(775), 71-86. |
en_US |
dc.identifier.issn |
1435-5345 |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5769 |
|
dc.identifier.uri |
https://doi.org/10.1515/crelle-2021-0010 |
en_US |
dc.description.abstract |
For a connected reductive group G defined over a non-archimedean local field F, we consider the Bernstein blocks in the category of smooth representations of G(F). Bernstein blocks whose cuspidal support involves a regular supercuspidal representation are called regular Bernstein blocks. Most Bernstein blocks are regular when the residual characteristic of F is not too small. Under mild hypotheses on the residual characteristic, we show that the Bernstein center of a regular Bernstein block of G(F) is isomorphic to the Bernstein center of a regular depth-zero Bernstein block of G0(F), where G0 is a certain twisted Levi subgroup of G. In some cases, we show that the blocks themselves are equivalent, and as a consequence we prove the ABPS Conjecture in some new cases. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
De Gruyter |
en_US |
dc.subject |
Mathematics |
en_US |
dc.subject |
2021-MAR-WEEK4 |
en_US |
dc.subject |
TOC-MAR-2021 |
en_US |
dc.subject |
2021 |
en_US |
dc.title |
Regular Bernstein blocks |
en_US |
dc.type |
Article |
en_US |
dc.contributor.department |
Dept. of Mathematics |
en_US |
dc.identifier.sourcetitle |
Journal Fur Die Reine Und Angewandte Mathematik |
en_US |
dc.publication.originofpublisher |
Foreign |
en_US |