Explicit coproduct formula for quantum groups of infinite series

TL;DR

This paper derives explicit coproduct formulas for PBW generators of certain quantum groups of infinite series, expanding the understanding of their algebraic structure.

Contribution

It provides new explicit coproduct formulas for quantum groups of types sp_{2n} and so_{2n}, complementing known formulas for other types.

Findings

Explicit coproduct formulas for U_q(sp_{2n})

Explicit coproduct formulas for U_q(so_{2n})

Enhanced algebraic understanding of quantum groups

Abstract

We find an explicit form for the coproduct formula for PBW generators of quantum groups of infinite series $U_q(\frak{sp}_{2n})$ and $U_q(\frak{so}_{2n}).$ Similar formulas for $U_q(\frak{sl}_{n+1})$ and $U_q(\frak{so}_{2n+1})$ are already known.