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-onsager Algebra
where β = q+q and δ = −(q − q) 2 . (TD) can be regarded as a q-analogue of the DolanGrady relations and we call A the q-Onsager algebra. We classify the finite-dimensional irreducible representations of A. All such representations are explicitly constructed via embeddings of A into the Uq(sl2)-loop algebra. As an application, tridiagonal pairs of qRacah type over C are classified in the case wh...
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 کاملq-Partition algebra combinatorics
We study a q-analog Qr(n, q) of the partition algebra Pr(n). The algebra Qr(n, q) arises as the centralizer algebra of the finite general linear group GLn(Fq) acting on a vector space IR q coming from r-iterations of Harish-Chandra restriction and induction. For n ≥ 2r, we show that Qr(n, q) has the same semisimple matrix structure as Pr(n). We compute the dimension dn,r(q) = dim(IR r q ) to be...
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.
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ژورنال
عنوان ژورنال: Journal of Mathematics and Statistics
سال: 2020
ISSN: 1549-3644
DOI: 10.3844/jmssp.2020.20.23