Zobrazeno 1 - 10 of 11 pro vyhledávání: '"Loren Spice"'
1
The Bernstein projector determined by a weak associate class of good cosets
Autor: Sandeep Varma, Loren Spice, Yeansu Kim
Let $G$ be a reductive group over a $p$-adic field $F$ of characteristic zero, with $p \gg 0$. In [Kim04], J.-L. Kim studied an equivalence relation called weak associativity on the set of unrefined minimal $K$-types for $G$ in the sense of A. Moy an
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::328ab6c0c9410fc1fd7b846528e82634
http://arxiv.org/abs/2007.02396
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2
Stability of character sums for positive-depth, supercuspidal representations
Autor: Stephen DeBacker, Loren Spice
Publikováno v: Journal für die reine und angewandte Mathematik (Crelles Journal). 2018:47-78
We re-write the character formulae of Adler and the first author in a form amenable to explicit computations in p-adic harmonic analysis, and use them to prove the stability of character sums for a modification of Reeder’s conjectural positive-dept
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1e8bdd2ae6edcad7035cc0691b66250
https://doi.org/10.1515/crelle-2015-0094
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5
Supercuspidal characters of reductive p-adic groups
Autor: Loren Spice, Jeffrey D. Adler
Publikováno v: American Journal of Mathematics. 131:1137-1210
We compute the characters of many supercuspidal representations of reductive p-adic groups. Specifically, we deal with representations that arise via Yu's construction from data satisfying a certain compactness condition. Each character is expressed
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a34753e97db2eb77cf746626c05f6fc1
https://doi.org/10.1353/ajm.0.0060
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6
Topological Jordan decompositions
Autor: Loren Spice
Publikováno v: Journal of Algebra. 319(8):3141-3163
The notion of a topological Jordan decomposition of a compact element of a reductive p-adic group has proven useful in many contexts. In this paper, we generalise it to groups defined over fairly general discretely-valued fields and prove the usual e
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b6fcaa9639545c58bd7541b226505ba
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7
Supercuspidal characters of SL l over a p -adic field, l a prime
Autor: Loren Spice
Publikováno v: American Journal of Mathematics. 127:51-100
Let F be a p-adic field of characteristic 0. For odd primeswith certain tameness restric- tions, techniques due to Assem allow us to write supercuspidal characters of SL� (F) in terms of a family of distributions defined by Kazhdan. Following an ar
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::af035e2e4ef49bdbc196ea56d487c122
https://doi.org/10.1353/ajm.2005.0008
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8
Elektronická kniha
Harmonic Analysis on Reductive, $p$-adic Groups
Autor: Robert S. Doran, Paul J. Sally, Jr, Loren Spice
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Representations of Reductive, $p$-adic Groups, which was held on January 16, 2010, in San Francisco, California. One of the original guiding philosophies of harm
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