Explicit coproduct formulas for quantum group of the type G2

We find coproduct formulas in the explicit form for the PBW-generators of the two-parameter quantum group Uq+(g) where g is a simple Lie algebra of type G2. The similar formulas for quantizations of simple Lie algebras of infinite series are already known.

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Bibliographic Details
Published in:Journal of algebra 2018-04, Vol.500, p.103-116
Main Authors: Kharchenko, V.K., Vay, C.
Format: Article
Language:English
Subjects:
Coproduct
PBW-basis
Quantum group
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Summary:We find coproduct formulas in the explicit form for the PBW-generators of the two-parameter quantum group Uq+(g) where g is a simple Lie algebra of type G2. The similar formulas for quantizations of simple Lie algebras of infinite series are already known.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2016.12.004