Hasil untuk "math.RT"

Zhicheng Feng

We define a new relation between character triples and prove some Clifford theory properties for weights in terms of character triples.

Joseph E. Marrow

We find every subgroup $H\leq Sz(q)$ so that the pair $(Sz(q), H)$ is a strong Gelfand pair.

Pavel Etingof

These are notes of a graduate course on representations of non-compact semisimple Lie groups given by the author at MIT.

Hung Yean Loke, Tomasz Przebinda

We show that Howe's big quotient is obtained via the tensoring over appropriate algebra.

G. Lusztig

We study the intersection of the totally positive part of a split semisimple group over the real numbers with a totally positive parabolic subgroup.

Minoru Wakimoto

In this paper we study the characters of N=3 superconformal modules by using the Zwegers' theory on modification of mock theta functions.

Ivan Losev

In this note we introduce and study the almost commuting varieties for the symplectic Lie algebras.

Olivier Dudas

We compute the Ext-algebra of the Brauer tree algebra associated to a line with no exceptional vertex.

Qifu Zheng

\begin{abstract} We apply the theory of generalized Watson transforms developed in \cite{zheng00} to construct the complementary series of $GL(2,\R)$. \end{abstract}

G. Lusztig

We state a conjecture on the reduction modulo the defining characteristic of a unipotent representation of a finite reductive group.

Stan Onypchuk

Necessary and sufficient conditions for finite commutative semihypergroups to be built from abelian groups of the same order are established.

G. Lusztig

This document contains a description of several of my papers, including remarks on history and connection with subsequent work. It also contains some new results and conjectures.

Gennadiy Ilyuta

Twisted Markov traces and irreducible characters of the Hecke algebra are dual.

N. I. Nessonov

We obtain the analogue of Schur-Weyl duality for the unitary group of an arbitrary ${\rm II}_1$-factor

Fernando Szechtman

The modular reduction of the Steinberg lattice of the general linear group is studied

Amitai Regev

We construct certain virtual characters for the symmetric groups, then compute a formula which calculates the values of these virtual characters.

Sefi Ladkani

We compute the Hochschild cohomology groups of gentle algebras and show that they are determined by the derived invariant introduced by Avella-Alaminos and Geiss.

G. Lusztig

We extend the known piecewise linear parametrization of the canonical basis of the plus part of an enveloping algebra of type ADE to the nonsimplylaced case.

M. Varagnolo, E. Vasserot

We prove the existence of canonical bases in the K-theory of quiver varieties. This existence was conjectured by Lusztig.

G. Lusztig

We continue the study of character sheaves on a not necessarily connected reductive group. We prove orthogonality formulas for certain characteristic functions.