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

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Representations of twisted Yangians of types B, C, D: II. / Guay, Nicolas; Regelskis, Vidas; Wendlandt, Curtis.

In: Transformation Groups, 23.02.2019.

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@article{1ad6a239f2e04c2b9dbcffc0d12efcbe,
title = "Representations of twisted Yangians of types B, C, D: II",
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 $(\mathfrak{so}_{2n+1},\mathfrak{so}_{2n})$.",
keywords = "math.RT, math.QA",
author = "Nicolas Guay and Vidas Regelskis and Curtis Wendlandt",
note = "52 pages",
year = "2019",
month = "2",
day = "23",
doi = "10.1007/s00031-019-09514-x",
language = "English",
journal = "Transformation Groups",
issn = "1083-4362",
publisher = "Birkhause Boston",

}

RIS

TY - JOUR

T1 - Representations of twisted Yangians of types B, C, D: II

AU - Guay, Nicolas

AU - Regelskis, Vidas

AU - Wendlandt, Curtis

N1 - 52 pages

PY - 2019/2/23

Y1 - 2019/2/23

N2 - 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 $(\mathfrak{so}_{2n+1},\mathfrak{so}_{2n})$.

AB - 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 $(\mathfrak{so}_{2n+1},\mathfrak{so}_{2n})$.

KW - math.RT

KW - math.QA

UR - http://www.scopus.com/inward/record.url?scp=85062031339&partnerID=8YFLogxK

U2 - 10.1007/s00031-019-09514-x

DO - 10.1007/s00031-019-09514-x

M3 - Article

JO - Transformation Groups

JF - Transformation Groups

SN - 1083-4362

ER -