Mixed hook-length formula for degenerate affine Hecke algebras
نویسنده
چکیده
In this article we work with the degenerate affine Hecke algebra Hl corresponding to the general linear group GLl over a local non-Archimedean field. This algebra was introduced by V.Drinfeld in [D], see also [L]. The complex associative algebra Hl is generated by the symmetric group algebra CSl and by the pairwise commuting elements x1 , . . . , xl with the cross relations for p = 1 , . . . , l−1 and q = 1 , . . . , l
منابع مشابه
Mixed hook-length formula for affine Hecke algebras
Let Ĥ l be the affine Hecke algebra corresponding to the group GLl over a p-adic field with the residue field of cardinality q . We will regard Ĥ l as an associative algebra over the field C(q). Consider the Ĥ l+m -module W induced from the tensor product of the evaluation modules over the algebras Ĥ l and Ĥm . The module W depends on two partitions λ of l and μ of m, and on two non-zero elemen...
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