Gröbner-Shirshov basis of quantum group of type \(\mathbb E_6\) (Q2428081)

From MaRDI portal
scientific article
Language Label Description Also known as
English
Gröbner-Shirshov basis of quantum group of type \(\mathbb E_6\)
scientific article

    Statements

    Gröbner-Shirshov basis of quantum group of type \(\mathbb E_6\) (English)
    0 references
    0 references
    0 references
    24 April 2012
    0 references
    In this paper, the authors compute all skew commutator relations between quantum root vectors by using the Ringel-Hall algebra method, and then prove that the set of these relations forms a minimal Gröbner-Shirshov basis of the quantum group of type \(E_{6}\).
    0 references
    0 references
    Ringel-Hall algebra
    0 references
    indecomposable modules
    0 references
    Gröbner-Shirshov basis
    0 references
    compositions
    0 references

    Identifiers