Hochschild and block cohomology varieties are isomorphic
Linckelmann, M. (2010). Hochschild and block cohomology varieties are isomorphic. Journal of the London Mathematical Society, 81(2), pp. 389-411. doi: 10.1112/jlms/jdp078
Abstract
We show that the varieties of the Hochschild cohomology of a block algebra and its block cohomology are isomorphic, implying positive answers to questions of Pakianathan and Witherspoon in [16] and [17]. We obtain as a consequence that the cohomology H*(G; k) of a finite group G with coefficients in a field k of characteristic p is a quotient of the Hochschild cohomology of the principal block of kG by a nilpotent ideal.
| Publication Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
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