Results 51 to 60 of about 741 (76)

Doubling constructions and tensor product L-functions: coverings of the symplectic group

Forum of Mathematics, Sigma
In this work, we develop an integral representation for the partial L-function of a pair $\pi \times \tau $ of genuine irreducible cuspidal automorphic representations, $\pi $ of the m-fold covering of Matsumoto of the symplectic group $
Eyal Kaplan
doaj   +1 more source

Quasi-polynomial representations of double affine Hecke algebras

Forum of Mathematics, Sigma
We introduce an explicit family of representations of the double affine Hecke algebra $\mathbb {H}$ acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lusztig type operators.
Siddhartha Sahi, Jasper Stokman, Vidya Venkateswaran   +2 more
doaj   +1 more source

Relating Signed Kazhdan-Lusztig Polynomials and Classical Kazhdan-Lusztig Polynomials

, 2012
Motivated by studying the Unitary Dual Problem, a variation of Kazhdan-Lusztig polynomials was defined in [Yee08] which encodes signature information at each level of the Jantzen filtration.
Yee, Wai Ling
core   +1 more source

Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field

Forum of Mathematics, Sigma
This article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
doaj   +1 more source

Local newforms and formal exterior square L-functions

, 2012
Let F be a non-archimedean local field of characteristic zero. Jacquet and Shalika attached a family of zeta integrals to unitary irreducible generic representations $\pi$ of GL_n(F). In this paper, we show that Jacquet-Shalika integral attains a certain
Miyauchi, Michitaka, Yamauchi, Takuya
core   +1 more source

Geometric structure for the principal series of a split reductive $p$-adic group with connected centre

, 2015
Let $\mathcal{G}$ be a split reductive $p$-adic group with connected centre. We show that each Bernstein block in the principal series of $\mathcal{G}$ admits a definite geometric structure, namely that of an extended quotient.
Aubert, Anne-Marie, Baum, Paul, Plymen, Roger, Solleveld, Maarten   +3 more
core   +1 more source

Intertwining operators between line bundles on Grassmannians

, 2013
Let G=GL(n,F) where F is a local field of arbitrary characteristic, and let $\pi_1,\pi_2$ be representations induced from characters of two maximal parabolic subgroups $P_1,P_2$.
Gourevitch, Dmitry, Sahi, Siddhartha
core  

The volumes of Miyauchi subgroups. [PDF]

Arch Math, 2022
Lesesvre D, Petrow I.
europepmc   +1 more source

Modular representations of p-adic groups

, 2002
I will survey some results in the theory of modular representations of a reductive $p$-adic group, in positive characteristic $\ell \neq p$ and $\ell=p$
Vignéras, Marie-France
core  

Graded structures and differential operators on nearly holomorphic and quasimodular forms on classical groups

, 2016
We wish to use graded structures [KrVu87], [Vu01] on dffierential operators and quasimodular forms on classical groups and show that these structures provide a tool to construct p-adic measures and p-adic L-functions on the corresponding non-archimedean ...
Panchishkin, Alexei
core   +1 more source