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arXiv · 1407.7001

RTT realization of quantum affine superalgebras and tensor products

Huafeng Zhang
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Abstract

We use the RTT realization of the quantum affine superalgebra associated with the Lie superalgebra $\mathfrak{gl}(M,N)$ to study its finite-dimensional representations and their tensor products. In the case $\mathfrak{gl}(1,1)$, the cyclicity condition of tensor products of finite-dimensional simple modules is determined completely in terms of zeros and poles of rational functions. This in turn induces cyclicity of some particular tensor products of Kirillov-Reshetikhin modules related to $\mathfrak{gl}(M,N)$.

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BibTeXRIS

Huafeng Zhang. 2016-12-20. RTT realization of quantum affine superalgebras and tensor products. https://doi.org/10.1093/imrn%2Frnv167

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