Corpus ID: 237571686

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

@inproceedings{Molev2021OddRI,
  title={Odd reflections in the Yangian associated with \$\{\frak gl\}(m|n)\$},
  author={Alexander I. Molev},
  year={2021}
}
  • A. Molev
  • Published 20 September 2021
  • Mathematics, Physics
The odd reflections is 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 Y(glm|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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