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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Letters in Mathematical Physics

سال: 2022

ISSN: ['0377-9017', '1573-0530']

DOI: https://doi.org/10.1007/s11005-021-01501-2