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Splitting Polynomials in Noncommutative Algebras

✍ Scribed by Maszczyk, Tomasz


Book ID
115472948
Publisher
Taylor and Francis Group
Year
2012
Tongue
English
Weight
251 KB
Volume
40
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES


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The quadratic algebras Q n are associated with pseudo-roots of noncommutative polynomials. We compute the Hilbert series of the algebras Q n and of the dual algebras Q ! n .

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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