# $R$ matrix for generalized quantum group of type $A$

13 Jan 2020 Kwon JaeHoon Yu Jeongwoo

The generalized quantum group $\mathcal{U}(\epsilon)$ of type $A$ is an affine analogue of quantum group associated to a general linear Lie superalgebra $\mathfrak{gl}_{M|N}$. We prove that there exists a unique $R$ matrix on tensor product of fundamental type representations of $\mathcal{U}(\epsilon)$ for arbitrary parameter sequence $\epsilon$ corresponding to a non-conjugate Borel subalgebra of $\mathfrak{gl}_{M|N}$... (read more)

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# Categories

• QUANTUM ALGEBRA
• REPRESENTATION THEORY