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

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

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Gröbner-Shirshov basis of quantum group of type \(\mathbb E_6\)
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    Gröbner-Shirshov basis of quantum group of type \(\mathbb E_6\) (English)
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    24 April 2012
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    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 \(E_{6}\).
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    Ringel-Hall algebra
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    indecomposable modules
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    Gröbner-Shirshov basis
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    compositions
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