Representations of twisted Yangians of types B, C, D: II

Nicolas Guay; Vidas Regelskis; Curtis Wendlandt

doi:10.1007/s00031-019-09514-x

Representations of twisted Yangians of types B, C, D: II

Nicolas Guay, Vidas Regelskis, Curtis Wendlandt

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We continue the study of finite-dimensional irreducible representations of twisted Yangians associated to symmetric pairs of types B, C and D, with focus on those of types BI, CII and DI. After establishing that, for all twisted Yangians of these types, the highest weight of such a module necessarily satisfies a certain set of relations, we classify the finite-dimensional irreducible representations of twisted Yangians for the pairs $(\mathfrak{so}_N,\mathfrak{so}_{N-2} \oplus \mathfrak{so}_2)$ and $(\mathfrak{so}_{2n+1},\mathfrak{so}_{2n})$.

Original language	English
Number of pages	37
Journal	Transformation Groups
Early online date	23 Feb 2019
DOIs	https://doi.org/10.1007/s00031-019-09514-x
Publication status	E-pub ahead of print - 23 Feb 2019

Bibliographical note

© Springer Science+Business Media, LLC, part of Springer Nature 2019. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

Keywords

math.RT
math.QA

Access to Document

10.1007/s00031-019-09514-x

Representations of twisted Yangians of types B, C, D: II
© Springer Science+Business Media, LLC, part of Springer Nature 2019. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.
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Cite this

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