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arXiv · 2103.08758

Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra

Kang Lu
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Abstract

We give explicit actions of Drinfeld generators on Gelfand-Tsetlin bases of super Yangian modules associated with skew Young diagrams. In particular, we give another proof that these representations are irreducible. We study irreducible tame $\mathrm Y(\mathfrak{gl}_{1|1})$-modules and show that a finite-dimensional irreducible $\mathrm Y(\mathfrak{gl}_{1|1})$-module is tame if and only if it is thin. We also give the analogous statements for quantum affine superalgebra of type A.

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BibTeXRIS

Kang Lu. 2021-03-15. Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra. https://doi.org/10.1007/s11005-021-01488-w

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