1989
DOI: 10.1016/0021-8693(89)90076-8
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On the decomposition of Brauer's centralizer algebras

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Cited by 64 publications
(71 citation statements)
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“…The question rests on the semi-simplicity of B K (n), a matter which has not been fully resolved (cf. [HW89,DWH99]). …”
Section: Orthogonal and Symplectic Matricesmentioning
confidence: 99%
“…The question rests on the semi-simplicity of B K (n), a matter which has not been fully resolved (cf. [HW89,DWH99]). …”
Section: Orthogonal and Symplectic Matricesmentioning
confidence: 99%
“…It is based on basic results of Hanlon and Wales [3] on the representation theory of the symmetric group (cf. Sagan [10]).…”
Section: The Value Of F Onmentioning
confidence: 99%
“…Hanlon and Wales [3] showed that the eigenvalues and eigenvectors of A(x) can be described as follows. Consider any partition λ = (t 1 , .…”
Section: The Value Of F Onmentioning
confidence: 99%
“…The theorem is proved using the decomposition of Brauer algebras as given by Hanlon and Wales [10], the first fundamental theorem of invariant theory, and the characterization of orbit spaces by inequalities of Procesi and Schwarz [16].…”
Section: Corollarymentioning
confidence: 99%