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Published 2003 | Version public
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Schur-Weyl Duality and Representations of Permutation Groups

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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.

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© 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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Eprint ID
98165
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CaltechAUTHORS:20190823-105107168

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Centre National de la Recherche Scientifique (CNRS)

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Created
2019-08-23
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Updated
2021-11-16
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Series Name
Progress in Mathematics
Series Volume or Issue Number
213