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Homologies of algebraic structures via braidings and quantum shuffles

โœ Scribed by Lebed, Victoria

Book ID
120659657
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
670 KB
Volume
391
Category
Article
ISSN
0021-8693

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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