Weak Bialgebras of fractions

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• 作者：Steve Bennoun ^{bennoun@math.ubc.ca} ; Hendryk Pfeiffer ; ^{pfeiffer@math.ubc.ca}
• 关键词：16S85 ; 16T05 ; 16T10
• 刊名：Journal of Algebra
• 出版年：2013
• 出版时间：1 July, 2013
• 年：2013
• 卷：385
• 期：Complete
• 页码：145-163
• 全文大小：257 K

文摘

We construct the algebra of fractions of a Weak Bialgebra relative to a suitable denominator set of group-like elements that is almost central, a condition we introduce in the present article which is sufficient in order to guarantee existence of the algebra of fractions and to render it a Weak Bialgebra. The monoid of all group-like elements of a coquasi-triangular Weak Bialgebra, for example, forms a suitable set of denominators as does any monoid of central group-like elements of an arbitrary Weak Bialgebra. We use this technique in order to construct new Weak Bialgebras whose categories of finite-dimensional comodules relate to -fusion categories in the same way as relates to .