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.
%0 Generic
%1 Carter2007a
%A Carter, J. Scott
%A Crans, Alissa S.
%A Elhamdadi, Mohamed
%A Saito, Masahico
%D 2007
%K algebra diagrams homology hopf quandles representation-theory
%T Cohomology of the adjoint of Hopf algebras
%U http://arxiv.org/abs/0705.3231
%X 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.
@misc{Carter2007a,
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.
},
added-at = {2009-05-22T15:39:09.000+0200},
author = {Carter, J. Scott and Crans, Alissa S. and Elhamdadi, Mohamed and Saito, Masahico},
biburl = {https://www.bibsonomy.org/bibtex/2242d03ce1cdea8d26955e1b8b6f2cd4c/njj},
description = {Cohomology of the adjoint of Hopf algebras},
interhash = {60e0b6660dfc6a927fdc8d2509c9c09a},
intrahash = {242d03ce1cdea8d26955e1b8b6f2cd4c},
keywords = {algebra diagrams homology hopf quandles representation-theory},
note = {cite arxiv:0705.3231
Comment: 23 pages, 22 figures, cool stuff},
timestamp = {2009-05-22T15:39:09.000+0200},
title = {Cohomology of the adjoint of Hopf algebras},
url = {http://arxiv.org/abs/0705.3231},
year = 2007
}