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 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 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 کاملRepresentations of the Rook-Brauer Algebra
We study the representation theory of the rook-Brauer algebra RBk(x), which has a of Brauer diagrams that allow for the possibility of missing edges. The Brauer, Temperley-Lieb, Motzkin, rook monoid, and symmetric group algebras are subalgebras of RBk(x). We prove that RBk(n+1) is the centralizer of the orthogonal group On(C) on tensor space and that RBk(n+1) and On(C) are in Schur-Weyl duality...
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).
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ژورنال
عنوان ژورنال: Journal of Noncommutative Geometry
سال: 2017
ISSN: 1661-6952
DOI: 10.4171/jncg/11-2-4