منابع مشابه
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In this paper, we compute all Gram determinants associated to all cell modules of Birman-Wenzl algebras. As a by-product, we give a necessary and sufficient condition for Birman-Wenzl algebras being semisimple over an arbitrary field.
متن کاملGram Determinants and Semisimple Criteria for Birman-wenzl Algebras
In this paper, we compute the Gram determinants associated to each cell module of the Birman-Wenzl algebras. As a by-product, we give the necessary and sufficient condition for semisimple Birman-Wenzl algebras over an arbitrary field.
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This paper develops an abstract framework for constructing “seminormal forms” for cellular algebras. That is, given a cellular R–algebra A which is equipped with a family of JM–elements we give a general technique for constructing orthogonal bases for A, and for all of its irreducible representations, when the JM–elements separate A. The seminormal forms for A are defined over the field of frac...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1997
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6841