Cohomology of Frobenius Algebras and the Yang-Baxter Equation

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A cohomology theory for multiplications and comultiplications of Frobenius algebras is developed in low dimensions in analogy with Hochschild cohomology of bialgebras based on deformation theory. Concrete computations are provided for key examples. Skein theoretic constructions give rise to solutions to the Yang-Baxter equation using multiplications and comultiplications of Frobenius algebras, and 2-cocycles are used to obtain deformations of R-matrices thus obtained.
21 pages, 18 figures, in memory of Xiao Song Lin

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Quantum Algebra, Category Theory, 16W30;18G35;57M25;57T99;57U15

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http://salesiana.dossiersoluciones.com/handle/123456789/146104

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.2567
 http://arxiv.org/abs/0801.2567

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arXiv