Gröbner-Shirshov basis for degenerate Ringel-Hall algebras of type F ₄

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 Gröbner-Shirshov basis for degenerate Ringel-Hall algebras of type F ₄.

Keywords

Gröbner-Shirshov basis / Frobenius map / Degenerate Ringel-Hall algebras / Multiplication formulas

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