Schur-Weyl Duality and Representations of Permutation Groups

Eugene Gutkin

doi:10.1007/978-1-4612-0029-1_8

Schur-Weyl Duality and Representations of Permutation Groups

Eugene Gutkin

https://doi.org/10.1007/978-1-4612-0029-1_8

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Publication Date: Jan 1, 2003

Citations: 3

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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 26-th birthday.KeywordsHigh WeightIrreducible RepresentationClassical GroupSymmetric GroupWeyl GroupThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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