English

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

Quantum Algebra 2018-08-22 v1

Abstract

We find a coproduct formula in the explicit form for PBW-generators of the two-parameter quantum group Uq+(g)U_q^+(\frak{g}) where g\frak{g} is a simple Lie algebra of type G2G_2. The similar formulas for quantizations of simple Lie algebras of infinite series are already known.

Keywords

Cite

@article{arxiv.1510.02820,
  title  = {Explicit coproduct formula for quantum group of the type $G_2$},
  author = {Vladislav Kharchenko and Cristian Vay},
  journal= {arXiv preprint arXiv:1510.02820},
  year   = {2018}
}

Comments

11 pages

R2 v1 2026-06-22T11:16:57.331Z