ON CLASS ALGEBRAS

Title & Authors
ON CLASS ALGEBRAS
Choi, Eun-Mi; Lee, Hei-Sook;

Abstract
Let $\small{F^{\alpha}}$G be a twisted group algebra. A subalgebra of $\small{F^{\alpha}}$G generated by all class sums of partition P of G is called a projective class algebra in $\small{F^{alpha}}$G associated with partition P. In this paper we study various partitions of G determined by actions of certain operator groups on G and construct projective class algebras depending on the actions. With regard to projective class algebras, we investigate structures of associated skew group algebras and fixed group algebras.
Keywords
group algebra;class algebra;projective subclass algebra;
Language
English
Cited by
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