THE SERRE RELATIONS IN RINGEL-HALL ALGEBRAS

Citation:

Abdukader OBUL.THE SERRE RELATIONS IN RINGEL-HALL ALGEBRAS[J].Chinese Annals of Mathematics B,2002,23(3):349~360
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Authors:

Abdukader OBUL;
Abstract: The author constructs the Casimir element of Hall algebras. By the method of Gabber-Kac theorem (see [4]), it is proved that the Serre relations are the de ning relations in composition algebra.

Keywords:

Hall algebra, Composition algebra, Casimir element, Relation

Classification:

17B37, 81R50
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