منابع مشابه
The (Q, q)–Schur Algebra
In this paper we use the Hecke algebra of type B to define a new algebra S which is an analogue of the q–Schur algebra. We construct Weyl modules for S and obtain, as factor modules, a family of irreducible S–modules over any field.
متن کاملTHE q-SCHUR ALGEBRA
We study a class of endomomorphism algebras of certain q-permutation modules over the Hecke algebra of type B, whose summands involve both parabolic and quasi-parabolic subgroups, and prove that these algebras are integrally free and quasi-hereditary, and are stable under base change. Some consequences for decomposition numbers are discussed. The notion of a q-Schur algebra was introduced by Di...
متن کاملTHE WEIGHTED FUSION CATEGORY ALGEBRA AND THE q-SCHUR ALGEBRA FOR GL2(q)
We show that the weighted fusion category algebra of the principal 2-block b0 of GL2(q) is the quotient of the q-Schur algebra S2(q) by its socle, for q an odd prime power. As a consequence, we get a canonical bijection between the set of isomorphism classes of simple kGL2(q)b0-modules and the set of conjugacy classes of b0-weights in this case.
متن کاملCYCLOTOMIC q-SCHUR ALGEBRAS ASSOCIATED TO THE ARIKI-KOIKE ALGEBRA
Let Hn,r be the Ariki-Koike algebra associated to the complex reflection group Sn (Z/rZ)n, and let S(Λ) be the cyclotomic q-Schur algebra associated to Hn,r, introduced by Dipper, James and Mathas. For each p = (r1, . . . , rg) ∈ Zg>0 such that r1 + · · · + rg = r, we define a subalgebra Sp of S(Λ) and its quotient algebra S. It is shown that Sp is a standardly based algebra and S is a cellular...
متن کاملTHE Q-q-SCHUR SUPERALGEBRA
As a natural generalisation of q-Schur algebras associated with the Hecke algebra Hr,R (of the symmetric group), we introduce the Q-q-Schur superalgebra associated with the Hecke-Clifford superalgebra H r,R, which, by definition, is the endomorphism algebra of the induced H r,R-module from certain q-permutation modules over Hr,R. We will describe certain integral bases for these superalgebras i...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 2000
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-00-00874-0