Skew group algebras, invariants and Weyl algebras
نویسندگان
چکیده
منابع مشابه
Skew group algebras of piecewise hereditary algebras are piecewise hereditary
The aim of this paper is twofold. First, we show that the main results of HappelRickard-Schofield (1988) and Happel-Reiten-Smalø (1996) on piecewise hereditary algebras are coherent with the notion of group action on an algebra. Then, we take advantage of this compatibility and show that if G is a finite group acting on a piecewise hereditary algebra A over an algebraically closed field whose c...
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Hochschild cohomology governs deformations of algebras, and its graded Lie structure plays a vital role. We study this structure for the Hochschild cohomology of the skew group algebra formed by a finite group acting on an algebra by automorphisms. We examine the Gerstenhaber bracket with a view toward deformations and developing bracket formulas. We then focus on the linear group actions and p...
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ABSTRACT In this paper we push forward results on the invariant F -module of a virtual knot investigated by the first named author where F is the algebra with two invertible generators A,B and one relation ABAB −BAB = BABA− A . For flat knots and links the two sides of the relation equation are put equal to unity and the algebra becomes the Weyl algebra. If this is perturbed and the two sides o...
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ژورنال
عنوان ژورنال: International Journal of Algebra
سال: 2015
ISSN: 1314-7595
DOI: 10.12988/ija.2015.5847