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math.RA2007★ 1 cited
Group gradings on simple Lie algebras of type A in positive characteristic
Yuri Bahturin, Mikhail Kochetov, Susan Montgomery
In this paper we consider gradings by a finite abelian group on the Lie algebra over an algebraically closed field of characteristic different from 2 a…
math.QA2007
Frobenius-Schur Indicators for Subgroups and the Drinfel'd Double of Weyl Groups
Robert Guralnick, Susan Montgomery
If G is a finite group and k is a field, there is a natural construction of a Hopf algebra over k associated to G, the Drinfel'd double D(G). We prove that if G is any finite real…
math.QA2007
Representations of some Hopf algebras associated to the symmetric group S_n
Andrea Jedwab, Susan Montgomery
We study the representations and their Frobenius-Schur indicators of two semisimple Hopf algebras related to the symmetric group , namely the bismash products $H_n = k^{C_n}#…