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Note on the cohomology of color Hopf and Lie algebras
- Source :
-
Journal of Algebra . May2006, Vol. 299 Issue 1, p419-442. 24p. - Publication Year :
- 2006
-
Abstract
- Abstract: Let A be a -Hopf algebra with bijective antipode and let M be a G-graded A-bimodule. We prove that there exists an isomorphism where is viewed as the trivial graded A-module via the counit of A, is the adjoint A-module associated to the graded A-bimodule M and denotes the G-graded Hochschild cohomology. As an application, we deduce that the graded cohomology of color Lie algebra L is isomorphic to the graded Hochschild cohomology of its universal enveloping algebra , solving a question of M. Scheunert. [Copyright &y& Elsevier]
- Subjects :
- *OPERATIONS (Algebraic topology)
*HOPF algebras
*LIE algebras
*LINEAR algebra
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 299
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 20768584
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2005.11.026