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Algebra Structure on the Hochschild Cohomology of the Ring of Invariants of a Weyl Algebra under a Finite Group

✍ Scribed by Mariano Suarez Alvarez

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
139 KB
Volume
248
Category
Article
ISSN
0021-8693

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✦ Synopsis

group of linear automorphisms of A . In this paper, we compute the multiplicative n ⅷ Ž G . structure on the Hochschild cohomology HH A of the algebra of invariants of n ⅷ Ž G . G. We prove that, as a graded algebra, HH A is isomorphic to the graded n algebra associated to the center of the group algebra ‫ރ‬G with respect to a filtration defined in terms of the defining representation of G. ᮊ 2002 Elsevier Ž .

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