Article ID Journal Published Year Pages File Type
4588125 Journal of Algebra 2008 17 Pages PDF
Abstract

In the present paper, we show that the Ringel–Hall algebra of a finitary algebra over a finite field satisfies fundamental relations in a more general setting. By twisting the multiplication, we obtain the quantum Serre relations. Finally, certain relations between Ringel–Hall algebras of an algebra and its factor algebras are discussed.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory