Twisted Hochschild Homology of Quantum Hyperplanes*
β Scribed by Andrzej Sitarz
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 113 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0920-3036
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π SIMILAR VOLUMES
We study Hochschild homology and cohomology for a class of noncommutative polynomial algebras which are both quantum (in the sense that they contain some copies of Manin's quantum plane as subalgebras) and classical (in the sense that they also contain some copies of the Weyl algebra A1). We obtain
We show that the Hochschild homology of a differential operator k-algebra E = A# f U g is the homology of a deformation of the Chevalley-Eilenberg complex of with coefficients in M β A \* b \* . Moreover, when A is smooth and k is a characteristic zero field, we obtain a type of Hochschild-Kostant-R