The decomposition matrices of the Brauer algebra over the complex field
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- by Paul P. Martin PDF
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Abstract:
The Brauer algebra was introduced by R. Brauer in 1937 as a tool in invariant theory. The problem of determining the Cartan decomposition matrix of the Brauer algebra over the complex field has remained open since then. Here we determine this fundamental invariant.References
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Additional Information
- Paul P. Martin
- Affiliation: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
- MR Author ID: 120490
- Email: p.p.martin@leeds.ac.uk
- Received by editor(s): December 7, 2010
- Received by editor(s) in revised form: June 5, 2012, and February 1, 2013
- Published electronically: November 18, 2014
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 1797-1825
- MSC (2010): Primary 16G30
- DOI: https://doi.org/10.1090/S0002-9947-2014-06163-1
- MathSciNet review: 3286499