First to study finite groups $G$ of automorphisms of the homogenized Weyl algebra $B_{n}$, the skew group algebra $B_{n}\\ast G$, the ring of invariants $B_{n}^{G}$, and the relations of these algebras with the Weyl algebra $A_{n}$, with the skew group algebra $A_{n}\...
Finite group actions on noncommutative rings: A survey since 1970 B McDonald (Ed.), Proceedings, Third Oklahoma Conference, New York (1980), pp. 357-393 Google Scholar 16. P Gabriel The universal cover of a representation finite algebra, Representations of Algebras ...
We compute explicitly up to Morita-equivalence the skew group algebra of a finite group acting on the path algebra of a quiver and the skew group algebra of a finite group acting on a preprojective algebra. These results generalize previous results of Reiten and Riedtmann for a cyclic group ...
Communications in AlgebraJ. Oinert, Simplicity of Skew Group Rings of Abelian Groups. Preprint available at arXiv:1111.7214v2 [math.RA]J. Oinert, Simplicity of Skew Group Rings of Abelian Groups, Comm. Algebra 42(2014), no. 2, 831-841. http://dx.doi.org/10.1080/00927872.2012.727052 ...
Let FG be the group algebra of a group G without 2-elements over a field F of characteristic p ≠ 2 endowed with the canonical involution induced from the map g ↦ g –1 , g ∈ G . Let ( FG ) – and ( FG ) + be the sets of skew and symmetric elements o
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Skew group algebra S(V)#G Elements: C-linear combos of monomials v e 1 1 ··· v en n g Relations: vw −wv = 0 group elements multiply as in group gv = g(v)g Briana Foster-Greenwood (UNT) Invariant Theory and HH(S(V)#G) April 23, 2011 8 / 1 HH 0 (S(V)#G) - ...
On Galois skew group rings of a separable algebra...Xiaolong JiangGeorge SzetoPure Mathematical SciencesX.L. Jiang and G. Szeto, On Galois Skew Group Rings of a Separable Algebra, Pure Math. Sci., 1 2012, 131-136.
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