منابع مشابه
The Brauer Group of a Hopf Algebra
Let H be a Hopf algebra with a bijective antipode over a commutative ring k with unit. The Brauer group of H is defined as the Brauer group of Yetter–Drinfel’d H-module algebras, which generalizes the Brauer–Long group of a commutative and cocommutative Hopf algebra and those known Brauer groups of structured algebras.
متن کاملA Generalization of the Brauer Algebra
We study two variations of the Brauer algebra Bn(x). The first is the algebra An(x), which generalizes the Brauer algebra by considering loops. The second is the algebra Ln(x), the An(x)-subalgebra generated by diagrams without horizontal arcs. An(x) and Ln(x) exhibit for x 6= 0 an hereditary-chain indexed by all integers. Following the ideas of Martin [10] in the context of the partition algeb...
متن کاملThe Brauer Algebra and the Symplectic Schur Algebra
Let k be an algebraically closed field of characteristic p > 0, let m, r be integers with m ≥ 1, r ≥ 0 and m ≥ r and let S0(2m, r) be the symplectic Schur algebra over k as introduced by the first author. We introduce the symplectic Schur functor, derive some basic properties of it and relate this to work of Hartmann and Paget. We do the same for the orthogonal Schur algebra. We give a modified...
متن کاملFusion Procedure for the Brauer Algebra
We show that all primitive idempotents for the Brauer algebra Bn(ω) can be found by evaluating a rational function in several variables which has the form of a product of R-matrix type factors. This provides an analogue of the fusion procedure for Bn(ω).
متن کاملCanonical Bases for the Brauer Centralizer Algebra
In this paper we construct canonical bases for the Birman-Wenzl algebra BWn, the q-analogue of the Brauer centralizer algebra, and so define left, right and two-sided cells. We describe these objects combinatorially (generalizing the Robinson-Schensted algorithm for the symmetric group) and show that each left cell carries an irreducible representation of BWn. In particular, we obtain canonical...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.02.017