Skew Group Algebra Structure And Properties

In this paper we discuss the Hopf structure of a class of skew group algebras, characterize some properties of an important skew group algebra. We obtain the main results as follow:Proposition 1.2 Let G be an infinite cyclic group generated by g, q = + 1,. then k * G/<<[x,z], [y,z], [x,y] -z2>>, then A C [x,z],[y,z],[x,y]- z2*G, so A is a skew group algebra.Proposition 2.5 (A )! is isomorphic to (CG)8 as a C - vector space, in other words , A is a finite dimensional algebra.Proposition 2.10 The base graph of A 's algebraic quiver is one of extended Dynkin diagrams, and one cycle added at each vertex.Propositrou 2.11 GK(A) = 3...