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.
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Gutkin, E. (2003). Schur-Weyl Duality and Representations of Permutation Groups. In: Duval, C., Ovsienko, V., Guieu, L. (eds) The Orbit Method in Geometry and Physics. Progress in Mathematics, vol 213. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0029-1_8
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DOI: https://doi.org/10.1007/978-1-4612-0029-1_8
Publisher Name: Birkhäuser, Boston, MA
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