The decomposition matrices of the Brauer algebra over the complex field

Martin, Paul

doi:10.1090/S0002-9947-2014-06163-1

The decomposition matrices of the Brauer algebra over the complex field
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by Paul P. Martin PDF

Trans. Amer. Math. Soc. 367 (2015), 1797-1825 Request permission

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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