Explicit coproduct formula for quantum group of the type $G_2$

Cristian Vay; Vladislav Kharchenko

arxiv: 1510.02820 · v1 · pith:W57Z5PXPnew · submitted 2015-10-09 · 🧮 math.QA

Explicit coproduct formula for quantum group of the type G₂

Vladislav Kharchenko , Cristian Vay This is my paper

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keywords coproductexplicitformulafrakgroupquantumsimpletype

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We find a coproduct formula in the explicit form for PBW-generators of the two-parameter quantum group $U_q^+(\frak{g})$ where $\frak{g}$ is a simple Lie algebra of type $G_2$. The similar formulas for quantizations of simple Lie algebras of infinite series are already known.

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Explicit coproduct formula for quantum group of the type G₂

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