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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.

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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.

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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.
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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
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98165
Deposited By: George Porter
Deposited On:23 Aug 2019 19:51
Last Modified:16 Nov 2021 17:37

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