Weil Representations of Symplectic Groups over Non-Principal Rings
نویسندگان
چکیده
منابع مشابه
Representations of Reductive Groups over Finite Rings
In this paper we construct a family of irreducible representations of a Chevalley group over a finite ring R of truncated power series over a field Fq . This is done by a cohomological method extending that of Deligne and the author in the case R = Fq .
متن کاملUnramified Representations of Reductive Groups over Finite Rings
Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic p, extending the construction of Deligne and Lusztig of representations of reductive groups over finite fields. We generalize Lusztig’s results to reductive groups over arbitrary finite local rings. This generalization uses the Greenberg functor and the theor...
متن کاملRepresentations of quantum groups defined over commutative rings II
In this articlewe study the structure of highestweightmodules for quantumgroups defined over a commutative ring with particular emphasis on the structure theory for invariant bilinear forms on these modules. © 2009 Elsevier B.V. All rights reserved.
متن کاملPrincipal Series Representations of Metaplectic Groups over Local Fields
Let G be a split reductive algebraic group over a non-archimedean local field. We study the representation theory of a central extension G̃ of G by a cyclic group of order n, under some mild tameness assumptions on n. In particular, we focus our attention on the development of the theory of principal series representations for G̃ and its applications to the study of Hecke algebras via a Satake is...
متن کاملOn Holomorphic Representations of Symplectic Groups
In this paper we shall give a simple and concrete realization of a set of representatives of all irreducible holomorphic representations of G. This realization, which involves the G-module structure of a symmetric algebra of polynomial functions is inspired by the work of B. Kostant [1] and follows the general scheme formulated in [2]. Detailed proofs will appear elsewhere. 1. The symmetric alg...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2005
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181069783