Combinatorial Gelfand Models

نویسندگان

  • Ron M. Adin
  • Yuval Roichman
چکیده

A combinatorial construction of Gelfand models for the symmetric group, for its Iwahori-Hecke algebra and for the hyperoctahedral group is presented.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Combinatorial Gelfand models for some semigroups and q-rook monoid algebras

Inspired by the results of [APR], we propose combinatorial Gelfand models for semigroup algebras of some finite semigroups, which include the symmetric inverse semigroup, the dual symmetric inverse semigroup, the maximal factorizable subsemigroup in the dual symmetric inverse semigroup, and the factor power of the symmetric group. Furthermore we extend the Gelfand model for the semigroup algebr...

متن کامل

ar X iv : 0 70 9 . 39 62 v 2 [ m at h . R T ] 2 6 M ar 2 00 8 COMBINATORIAL GELFAND MODELS

A combinatorial construction of a Gelfand model for the symmetric group and its Iwahori-Hecke algebra is presented.

متن کامل

Combinatorial Gelfand Models for Semisimple Diagram Algebras

We construct combinatorial (involutory) Gelfand models for the following diagram algebras in the case when they are semi-simple: Brauer algebras, their partial analogues, walled Brauer algebras, their partial analogues, Temperley-Lieb algebras, their partial analogues, walled Temperley-Lieb algebras, their partial analogues, partition algebras and their Temperley-Lieb analogues.

متن کامل

ar X iv : 0 70 9 . 39 62 v 1 [ m at h . R T ] 2 5 Se p 20 07 COMBINATORIAL GELFAND MODELS

A combinatorial construction of a Gelafand model for the symmetric group and its Iwahori-Hecke algebra is presented.

متن کامل

Combinatorial Constructions of Weight Bases: The Gelfand-Tsetlin Basis

This work is part of a project on weight bases for the irreducible representations of semisimple Lie algebras with respect to which the representation matrices of the Chevalley generators are given by explicit formulas. In the case of sln, the celebrated Gelfand-Tsetlin basis is the only such basis known. Using the setup of supporting graphs developed by Donnelly, we present a new interpretatio...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008