Hasil untuk "math.RT"

Guillaume Delord

Explicit convergence of suitably normalized integrals on balls where the integrand is the product of coefficients of the quasi-regular representation of the finitely generated free group.

Adam Koranyi

A simple new proof of the Harish-Chandra condition, preceded by an expository part on Hermitian symmetric spaces, holomorphic induction, and on some analytic tools.

Ivan Losev

The goal of this paper is to show that a wide class of Harish-Chandra $(\mathfrak{g},K)$-modules including all irreducible ones come with a certain canonical filtration.

G. Lusztig

We define (in two, equivalent ways) the notion of a rigid stratum of a reductive group. This generalizes the notion of rigid unipotent class.

Mustapha Raïs

In this paper we generalize the notion of discriminant for symmetric matrices and some results about it to the case of symmetric spaces.

Adam Korányi

Based on the material in an old article of Wallach a short proof of the Harish-Chandra condition is given.

Ben Cox

This is a partial derivative of \cite{MR94g:17044}. We give a list of examples/problems that some will find amusing.

Katerina Hristova

We investigate the existence of left and right adjoints to the restriction functor in three categories of continuous representations of a topological group: discrete, linear complete and compact.

Love Forsberg

We give a formula which determines the minimal effective dimensions of path semigroups and truncated path semigroups over an uncountable field of characteristic zero.

Arno Kret

We prove that any reductive group G over a non-Archimedean local field has a cuspidal complex representation.

Sefi Ladkani

We compute the Hochschild cohomology groups of the cluster-tilted algebras of finite representation type.

Deepak Gumber

We give some applications of augmentation quotients of free group rings in group theory.

Victoria Sevostyanova

In the present paper the field of invariants of the adjoint action of the unitriangular group in the nilradical of any parabolic subalgebra is described.

R. Fioresi

In this paper we construct compact forms associated with a complex Lie supergroup with Lie superalgebra of classical type.

Anton Deitmar

We show that every admissible irreducible representation of a product of two locally compact groups is a tensor product of admissible irreducible representations of the factors.

Tadashi Miyazaki

We describe explicitely the structures of standard $(g,K)$-modules of $SL(3,R)$.

Vladimir Baranovsky

We generalize the classical Bernstein-Gelfand-Gelfand correspondence to complete intersections in toric varieties.

Tuong Ton-That

In this article we prove several reciprocity theorems for some infinite-dimensional dual pairs of representations on Bargmann-Segal-Fock spaces.

G. Lusztig

We begin the study of character sheaves on a not necessarily connected reductive group, extending the known theory for connected groups.

Daisuke Sagaki

We give a twining character formula for Demazure modules.