Grobner-Shirshov Basis for Degenerate Ringel-Hall Algebras of Type F4

Citation:

Zhenzhen GAO,Abdukadir OBUL.Grobner-Shirshov Basis for Degenerate Ringel-Hall Algebras of Type F4[J].Chinese Annals of Mathematics B,2016,37(2):194~210
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Authors:

Zhenzhen GAO; Abdukadir OBUL

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.11361056,11271043,11471186).
Abstract: In this paper, by using the Frobenius morphism and the multiplication formulas of the generic extension monoid algebra, the authors first give a presentation of the degenerate Ringel-Hall algebra, and then construct the Gr\"{o}bner-Shirshov basis for degenerate Ringel-Hall algebras of type $F_4.$

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