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Fine Hochschild invariants of derived categories for symmetric algebras
- Source :
-
Journal of Algebra . Feb2007, Vol. 308 Issue 1, p350-367. 18p. - Publication Year :
- 2007
-
Abstract
- Abstract: Let A be a symmetric k-algebra over a perfect field k. Külshammer defined for any integer n a mapping on the degree 0 Hochschild cohomology and a mapping on the degree 0 Hochschild homology of A as adjoint mappings of the respective p-power mappings with respect to the symmetrising bilinear form. In an earlier paper it is shown that is invariant under derived equivalences. In the present paper we generalise the definition of to higher Hochschild homology and show the invariance of κ and its generalisation under derived equivalences. This provides fine invariants of derived categories. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*ALGEBRA
*MATHEMATICAL analysis
*HOMOLOGY (Biology)
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 308
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 23277708
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2006.08.021