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Drinfeld realisations and vertex operator representations of quantum affine superalgebras

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arxiv 1802.09702 v1 pith:ES23GEYD submitted 2018-02-27 math.QA

Ying Xu , Ruibin Zhang This is my paper · ORCID
classification math.QA
keywords affinemathfrakquantumrealisationsrepresentationssuperalgebrasdrinfeldoperator
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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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Cited by 2 Pith papers

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