Characters of Brauer’s centralizer algebras
نویسندگان
چکیده
منابع مشابه
Characters of Brauer's Centralizer Algebras
Brauer's centralizer algebras are finite dimensional algebras with a distinguished basis. Each Brauer centralizer algebra contains the group algebra of a symmetric group as a subalgebra and the distinguished basis of the Brauer algebra contains the permutations as a subset. In view of this containment it is desirable to generalize as many known facts concerning the group algebra of the symmetri...
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We compute matrix units for Brauer’s centralizer algebras and Hecke algebras of type A. This can be used to construct a complete system of matrix units of the centralizers of tensor products of classical Lie groups (except S0(2n)) and their quantum deformations. The calculation is done by induction inspired by path models for special operator algebras. It is similar to the calculation of Young’...
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In a 1989 paper [HW1], Hanlon and Wales showed that the algebra structure of the Brauer Centralizer Algebra A f is completely determined by the ranks of certain combinatorially defined square matrices Z, whose entries are polynomials in the parameter x. We consider a set of matrices M found by Jockusch that have a similar combinatorial description. These new matrices can be obtained from the or...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1995
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1995.169.173