Graded Specht Modules
نویسنده
چکیده
Recently, the first two authors have defined a Z-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l, 1, d). In this paper we explain how to grade Specht modules over these algebras.
منابع مشابه
Universal Graded Specht Modules for Cyclotomic Hecke Algebras
The graded Specht module S for a cyclotomic Hecke algebra comes with a distinguished generating vector z ∈ S, which can be thought of as a “highest weight vector of weight λ”. This paper describes the defining relations for the Specht module S as a graded module generated by z. The first three relations say precisely what it means for z to be a highest weight vector of weight λ. The remaining r...
متن کاملar X iv : 0 90 1 . 02 18 v 1 [ m at h . R T ] 2 J an 2 00 9 GRADED SPECHT MODULES
Recently, the first two authors have defined a Z-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l, 1, d). In this paper we explain how to grade Specht modules over these algebras.
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