A Littlewood-richardson Filtration at Roots of 1 for Multiparametr Deformations of Skew Schur Modules
نویسندگان
چکیده
Let R be a commutative ring, q a unit of R and P a multiplicatively antisymmetric matrix with coefficients which are integer powers of q. Denote by SE(q,P) the multiparameter quantum matrix bialgebra associated to q and P. Slightly generalizing [H-H], we define a multiparameter deformation Lλ/μVP of the classical skew Schur module. In case R is a field and q is not a root of 1, arguments like those given in [H-H] show that Lλ/μVP is completely reducible, and its decomposition into irreducibles is ∑
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