A characteristic free approach to Brauer algebras
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- by Steffen König and Changchang Xi PDF
- Trans. Amer. Math. Soc. 353 (2001), 1489-1505 Request permission
Abstract:
Brauer algebras arise in representation theory of orthogonal or symplectic groups. These algebras are shown to be iterated inflations of group algebras of symmetric groups. In particular, they are cellular (as had been shown before by Graham and Lehrer). This gives some information about block decomposition of Brauer algebras.References
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Additional Information
- Steffen König
- Affiliation: Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
- Address at time of publication: Department of Mathematics and Computer Science, University of Leicester, University Road, Leicester, LE1 7RH, United Kingdom
- MR Author ID: 263193
- Email: sck5@mcs.le.ac.ak
- Changchang Xi
- Affiliation: Department of Mathematics, Beijing Normal University, 100875 Beijing, People’s Republic of China
- Email: xicc@bnu.edu.cn
- Received by editor(s): January 26, 1998
- Received by editor(s) in revised form: January 13, 2000
- Published electronically: December 18, 2000
- Additional Notes: Both authors have obtained support from the Volkswagen Foundation (Research in Pairs Programme of the Mathematical Research Institute Oberwolfach). S. König also obtained support from Beijing Normal University during his stay in Beijing in May 1997, when most of this paper has been written. C. C. Xi also obtained support from the Young Teacher Foundation of Chinese Educational Committee and from NSF of China (Grant No. 19831070).
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 1489-1505
- MSC (1991): Primary 16D25, 16G30, 20G0; Secondary 57M25, 81R05
- DOI: https://doi.org/10.1090/S0002-9947-00-02724-0
- MathSciNet review: 1806731