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arXiv · 1802.09702

Drinfeld realisations and vertex operator representations of quantum affine superalgebras

Ying Xu·Ruibin Zhang
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Abstract

Drinfeld realisations are constructed for the quantum affine superalgebras of the series ${\rm\mathfrak{osp}}(1|2n)^{(1)}$,${\rm\mathfrak{sl}}(1|2n)^{(2)}$ and ${\rm\mathfrak{osp}}(2|2n)^{(2)}$. By using the realisations, we develop vertex operator representations and classify the finite dimensional irreducible representations for these quantum affine superalgebras.

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Ying Xu, Ruibin Zhang. 2018-02-27. Drinfeld realisations and vertex operator representations of quantum affine superalgebras. https://arxiv.org/abs/1802.09702

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