Document Type
Article
Publication Date
2007
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.
Original Publication Citation
Carter, J.S.; Crans, A.; Elhamdadi, M.; and Saito, M. “Cohomology of the adjoint of Hopf algebras.” Journal of Generalized Lie Theory and Applications, Vol. 2 (2008), No. 1: 19 – 34.
Digital Commons @ LMU & LLS Citation
Carter, J. Scott; Crans, Alissa S.; Elhamdadi, Mohamed; and Saito, Masahico, "Cohomology of the adjoint of Hopf algebras" (2007). Mathematics, Statistics and Data Science Faculty Works. 63.
https://digitalcommons.lmu.edu/math_fac/63
