On Non-trivially Associated Tensor Categories

Bashayer Al-harbi, Wafa M. Fakieh, Mohammed Mosa Al-shomrani

Abstract

The purpose of this article is to provide mathematical formulas for some operations
on the objects of a non-trivially associated tensor category constructed from a factorization of a group into a subgroup and a set of left coset representatives. A detailed example is provided.

Keywords

Non-trivially associated tensor categories, algebras in tensor categories, coalgebras in tensor categories, dual of algebras and coalgebras.

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