Computing the Discriminants of Brauer's Centralizer Algebras

DOI10.2307/2008512zbMath0698.20006OpenAlexW4247527868MaRDI QIDQ3475452

Philip J. Hanlon, David B. Wales

Publication date: 1990

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2008512

zbMATH Keywords

symmetric groupsrankdeterminantrepresentation spaceBrauer's orthogonal centralizer algebraequivariant endomorphisms

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (15)

On the semi-simplicity of the cyclotomic Brauer algebras. ⋮ On the semisimplicity of the cyclotomic Brauer algebras. II. ⋮ Alcove geometry and a translation principle for the Brauer algebra. ⋮ Cellular structure of \(q\)-Brauer algebras. ⋮ Brauer algebras and centralizer algebras for \(\text{SO}(2n,\mathbb{C})\) ⋮ Decomposition numbers of Brauer algebras in non-dividing characteristic. ⋮ The blocks of the Brauer algebra in characteristic zero ⋮ On the blocks of the walled Brauer algebra. ⋮ Order and disorder in algebraic combinatorics ⋮ Brauer algebra dual modules and polytabloids ⋮ A criterion on the semisimple Brauer algebras. ⋮ A lattice approach to the conformal \(OSp(2S+2|2S)\) supercoset sigma model. Part I: algebraic structures in the spin chain. The Brauer algebra ⋮ A criterion on the semisimple Brauer algebras. II. ⋮ Canonical idempotents of multiplicity-free families of algebras ⋮ On the semisimplicity of the Brauer centralizer algebras

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