منابع مشابه
On Local Coefficients of Simplicial Coalgebras
This paper generalizes the notion of local coefficients and fundamental groups of spaces to simplicial coalgebras. We define a Hopf algebra π1(C) from a simplicial coalgebra C as a generalization of a fundamental group, and show that a module overπ1(C) corresponds to a local coefficient of C. As a consequence, the Hoschild cohomology of a Hopf algebraH with a coefficient M coincides with the co...
متن کاملAn Integration Formula of Shahidi
To analyze the standard intertwining operators for induced representations of a reductive group, one is naturally led to study certain integrals over the corresponding unipotent radical N . A Levi component M acts on N by the adjoint action, and so we may decompose the integral according to the Ad(M)-orbits. We treat unitary and classical cases in which M is the product G×H of two groups relate...
متن کاملOn a Pairing of Goldberg-shahidi for Even Orthogonal Groups
Let π ⊗ σ be a supercuspidal representation of GL(2n)× SO(2n) over a p-adic field with π selfdual, where SO(2n) stands for a quasisplit even special orthogonal group. In order to study its normalized parabolic induction to SO(6n), Goldberg and Shahidi defined a pairing R between the matrix coefficients of π and σ which controls the residue of the standard intertwining operator. The elliptic par...
متن کاملBounds on Smooth Matrix Coefficients on L-spaces
Let G be a semisimple Lie group with a finite number of connected components and a finite center. Let K be a maximal compact subgroup. In this paper, we give an upper bound for K-finite and k-smooth matrix coefficients of the regular representation L(X) where X is a differentiable G-space equipped with a G-invariant measure, under an assumption about supp(L(X)) ∩ ĜK . Furthermore, we show that ...
متن کاملThe spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estim...
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: manuscripta mathematica
سال: 2018
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-018-1052-x