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Cohomology of the adjoint of Hopf algebras

, , , and . (2007)cite arxiv:0705.3231 Comment: 23 pages, 22 figures, cool stuff.

Abstract

A cohomology theory of the adjoint of Hopf algebras, via deformations, is presented by means of diagrammatic techniques. Explicit calculations are provided in the cases of group algebras, function algebras on groups, and the bosonization of the super line. As applications, solutions to the YBE are given and quandle cocycles are constructed from groupoid cocycles.

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Cohomology of the adjoint of Hopf algebras

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