Rational and polynomial representations of Yangians

Maxim Nazarov; Sergey Khoroshkin; Alexander Shapiro

doi:10.1016/j.jalgebra.2014.06.038

Rational and polynomial representations of Yangians

Maxim Nazarov, Sergey Khoroshkin, Alexander Shapiro

Mathematics

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

Abstract

We define natural classes of rational and polynomial representations of the Yangian of the general linear Lie algebra. We also present the classification and explicit realizations of all irreducible rational representations of the Yangian.

Original language	English
Pages (from-to)	265-291
Journal	Journal of Algebra
Volume	418
DOIs	https://doi.org/10.1016/j.jalgebra.2014.06.038
Publication status	Published - 2014

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10.1016/j.jalgebra.2014.06.038

Maxim L Nazarov
- maxim.nazarovyork.acuk
- Mathematics - Professor
Person: Academic

Cherednik Algebras at Infinity
Nazarov, M. L. (Principal investigator) & Balagovic, M. (Researcher)
EPSRC
1/10/11 → 31/10/14
Project: Research project (funded) › Research

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title = "Rational and polynomial representations of Yangians",

abstract = "We define natural classes of rational and polynomial representations of the Yangian of the general linear Lie algebra. We also present the classification and explicit realizations of all irreducible rational representations of the Yangian.",

author = "Maxim Nazarov and Sergey Khoroshkin and Alexander Shapiro",

year = "2014",

doi = "10.1016/j.jalgebra.2014.06.038",

language = "English",

volume = "418",

pages = "265--291",

journal = "Journal of Algebra",

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AU - Nazarov, Maxim

AU - Khoroshkin, Sergey

AU - Shapiro, Alexander

PY - 2014

Y1 - 2014

N2 - We define natural classes of rational and polynomial representations of the Yangian of the general linear Lie algebra. We also present the classification and explicit realizations of all irreducible rational representations of the Yangian.

AB - We define natural classes of rational and polynomial representations of the Yangian of the general linear Lie algebra. We also present the classification and explicit realizations of all irreducible rational representations of the Yangian.

U2 - 10.1016/j.jalgebra.2014.06.038

DO - 10.1016/j.jalgebra.2014.06.038

M3 - Article

SN - 0021-8693

VL - 418

SP - 265

EP - 291

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Rational and polynomial representations of Yangians

Abstract

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Profiles

Maxim L Nazarov

Projects

Cherednik Algebras at Infinity

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