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

Vladislav Kharchenko; Cristian Vay

doi:10.1016/j.jalgebra.2016.12.004

paper

Explicit coproduct formula for quantum group of the type $G_{2}$

arXiv:1510.02820 · doi:10.1016/j.jalgebra.2016.12.004

Abstract

We find a coproduct formula in the explicit form for PBW-generators of the two-parameter quantum group $U_{q}^{+} (g)$ where $g$ is a simple Lie algebra of type $G_{2}$ . The similar formulas for quantizations of simple Lie algebras of infinite series are already known.

11 pages

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Right coideal subalgebras in U^+_q(so_{2n+1})

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Explicit coproduct formula for quantum group of the type $G_{2}$