Homologie et cohomologie de Hochschild de certaines algebres polynomiales classiques et quantiques
Richard, Lionel
HAL, hal-00124345 / Harvested from HAL
Text on HAL
We study Hochschild homology and cohomology for some polynomial algebras mixing both ``classical'' relations ($XY-YX=1$) and ``quantum'' relations ($XY={\l}YX$). More specifically, we prove that the algebra of differential operators on any quantum affine space (quantum Weyl algebra) have the same Hochschild homology, and satisfy the same duality relation, as the classical Weyl algebra does.
Publié le : 2004-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00124345,
     author = {Richard, Lionel},
     title = {Homologie et cohomologie de Hochschild de certaines algebres polynomiales classiques et quantiques},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00124345}
}

Richard, Lionel. Homologie et cohomologie de Hochschild de certaines algebres polynomiales classiques et quantiques. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00124345/