斜群代数的截断代数和平凡扩张

The Truncation Algebra of Skew Group Algebra and Trivial Extension

主要讨论有限群G=N×MSL(3,C)的McKay箭图,及其对应的斜群代数∧V*G的截断箭图和截断代数的性质,证明了当3|(n+1),3|r时,其特殊截断代数的平凡扩张与斜群代数∧V*G同构.

In this paper, we mainly discuss the McKay quiver of finite group G=N×MM SL（3, C） and the properties of truncation quivers and truncation algebras corresponding to skew group algebras ∧V＊G. We show that if the total truncation quiver have 3 components, the trivial extension of special truncation algebra isomorphic to AV ＊ G.