CaltechAUTHORS
  A Caltech Library Service

Schur-Weyl Duality and Representations of Permutation Groups

Gutkin, Eugene (2003) Schur-Weyl Duality and Representations of Permutation Groups. In: The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov. Progress in Mathematics. No.213. Birkhäuser , Boston, MA, pp. 147-164. ISBN 9781461265801. https://resolver.caltech.edu/CaltechAUTHORS:20190823-105107168

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20190823-105107168

Abstract

The Schur-Weyl duality provides a systematic approach to the study of representations of the classical groups. In this contribution we use the Schur-Weyl duality to analyze the natural representations of the symmetric group S_n arising from the irreducible GL(n, C) and SL(n, C)-modules. This paper is dedicated to A. A. Kirillov on the occasion of his 2^6-th birthday.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-1-4612-0029-1_8DOIArticle
Additional Information:© Springer Science+Business Media New York 2003. This paper was written in April/June 2001. At the time I held the CNRS appointment of the Directeur de Recherche Associe at the CMAT, Ecole Poly technique, Palaiseau. It is a pleasure to thank the faculty and the staff of the Centre de Mathematiques for the hospitable and stimulating atmosphere, and the CNRS for their financial support.
Funders:
Funding AgencyGrant Number
Centre National de la Recherche Scientifique (CNRS)UNSPECIFIED
Subject Keywords:High Weight; Irreducible Representation; Classical Group; Symmetric Group; Weyl Group
Series Name:Progress in Mathematics
Issue or Number:213
Record Number:CaltechAUTHORS:20190823-105107168
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190823-105107168
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98165
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:23 Aug 2019 19:51
Last Modified:03 Oct 2019 21:38

Repository Staff Only: item control page