A new class of locally unital and locally finite dimensional algebras A over an arbitrary
algebraically closed field is discovered. Each of them admits an upper finite weakly …

A cellular algebra is called cyclic cellular if all cell modules are cyclic. Most important
examples of cellular algebras appearing in representation theory are in fact cyclic cellular …

We establish a framework for cellularity of algebras related to the Jones basic construction.
Our framework allows a uniform proof of cellularity of Brauer algebras, ordinary and …

A new class of associative algebras referred to as affine walled Brauer algebras are
introduced. These algebras are free with infinite rank over a commutative ring containing 1 …

The degenerate affine and affine BMW algebras arise naturally in the context of Schur--Weyl
duality for orthogonal and symplectic Lie algebras and quantum groups, respectively …

The cyclotomic Birman–Wenzl–Murakami algebras are quotients of the affine BMW algebras
in which the affine generator satisfies a polynomial relation. We show that the cyclotomic …

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We relate the structure of cyclotomic and degenerate cyclotomic BMW algebras, for arbitrary
parameter values, to that for admissible parameter values. In particular, we show that these …

arxiv:0905.4258v2 [math.QA] 22 Jan 2010 Page 1 arxiv:0905.4258v2 [math.QA] 22 Jan 2010
To appear in Journal of Pure and Applied Algebra COMPARISON OF ADMISSIBILITY …