Cohomology of the adjoint of Hopf algebras

J. Scott Carter; Alissa S. Crans; Mohamed Elhamdadi; Masahico Saito

Cohomology of the adjoint of Hopf algebras

J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi, Masahico Saito

Research output: Contribution to journal › Article › peer-review

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 language	American English
Pages (from-to)	19-34
Journal	Journal of Generalized Lie Theory and Applications
Volume	2
Issue number	1
State	Published - 2007

Disciplines

Algebra

Access to Document

https://digitalcommons.lmu.edu/math_fac/63

Cite this

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title = "Cohomology of the adjoint of Hopf algebras",

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.",

author = "Carter, {J. Scott} and Crans, {Alissa S.} and Mohamed Elhamdadi and Masahico Saito",

note = "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.",

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AU - Carter, J. Scott

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AU - Elhamdadi, Mohamed

AU - Saito, Masahico

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PY - 2007

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AB - 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.

M3 - Article

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SP - 19

EP - 34

JO - Journal of Generalized Lie Theory and Applications

JF - Journal of Generalized Lie Theory and Applications

IS - 1

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