Abstract
We realize explicitly the well-known additive decomposition of the Hochschild cohomology ring of a group algebra at the chain level. As a result, we describe the cup product, the Batalin-Vilkovisky operator and the Lie bracket in the Hochschild cohomology ring of a group algebra.
| Original language | English |
|---|---|
| Pages (from-to) | 811-858 |
| Number of pages | 48 |
| Journal | Journal of Noncommutative Geometry |
| Volume | 10 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2016 |
Keywords
- Additive decomposition
- Batalin-Vilkovisky structure
- Cup product
- Group cohomology
- Hochschild Cohomology Ring
- Normalized Bar Resolution
- Setwise Self-Homotopy