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arXiv · 2109.09462

Odd reflections in the Yangian associated with ${\frak gl}(m|n)$

A. I. Molev
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Abstract

The odd reflections are an effective tool in the Lie superalgebra representation theory, as they relate non-conjugate Borel subalgebras. We introduce analogues of the odd reflections for the Yangian ${\rm Y}({\frak gl}_{m|n})$ and use them to produce a transition rule for the parameters of the highest weight modules corresponding to a change of the parity sequence. This leads to a description of the finite-dimensional irreducible representations of the Yangian associated with an arbitrary parity sequence.

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BibTeXRIS

A. I. Molev. 2021-09-20. Odd reflections in the Yangian associated with ${\frak gl}(m|n)$. https://doi.org/10.1007/s11005-021-01501-2

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