Further results on coset representative categories

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This paper is devoted to further results on the nontrivially associated categories $\mathcal{C}$ and $\mathcal{D}$, which are constructed from a choice of coset representatives for a subgroup of a finite group. We look at the construction of integrals in the algebras $A$ and $D$ in the categories. These integrals are used to construct abstract projection operators to show that general objects in $\mathcal{D}$ can be split into a sum of simple objects. The braided Hopf algebra $D$ is shown to be braided cocommutative, but not braided commutative. Extensions of the categories and their connections with conjugations and inner products are discussed.
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Quantum Algebra, 16W30; 18D10

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http://salesiana.dossiersoluciones.com/handle/123456789/124139

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702490
 http://arxiv.org/abs/math/0702490

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arXiv