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A characteristic free approach to Brauer algebras |
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| Authors: | Steffen Kö nig Changchang Xi |
| Institution: | Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany ; Department of Mathematics, Beijing Normal University, 100875 Beijing, People's Republic of China |
| 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. |
| Keywords: | Brauer algebras orthogonal groups symplectic groups cellular algebras |
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