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
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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.
| Item Type: | Book Section | ||||||
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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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| Subject Keywords: | High Weight; Irreducible Representation; Classical Group; Symmetric Group; Weyl Group | ||||||
| Series Name: | Progress in Mathematics | ||||||
| Issue or Number: | 213 | ||||||
| DOI: | 10.1007/978-1-4612-0029-1_8 | ||||||
| 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: | 16 Nov 2021 17:37 |
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