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The decomposition matrices of the Brauer algebra over the complex field


Author: Paul P. Martin
Journal: Trans. Amer. Math. Soc. 367 (2015), 1797-1825
MSC (2010): Primary 16G30
DOI: https://doi.org/10.1090/S0002-9947-2014-06163-1
Published electronically: November 18, 2014
MathSciNet review: 3286499
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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.


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Additional Information

Paul P. Martin
Affiliation: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
Email: p.p.martin@leeds.ac.uk

DOI: https://doi.org/10.1090/S0002-9947-2014-06163-1
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
Article copyright: © Copyright 2014 American Mathematical Society