University of Hertfordshire

By the same authors

Equivalences between three presentations of orthogonal and symplectic Yangians

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Original languageEnglish
Number of pages53
Pages (from-to)327-379
JournalLetters in Mathematical Physics
Journal publication date1 Feb 2019
Volume109
Issue2
Early online date21 Jun 2018
DOIs
Publication statusPublished - 1 Feb 2019

Abstract

We prove the equivalence of two presentations of the Yangian Y(g) of a simple Lie algebra g, and we also show the equivalence with a third presentation when g is either an orthogonal or a symplectic Lie algebra. As an application, we obtain an explicit correspondence between two versions of the classification theorem of finite-dimensional irreducible modules for orthogonal and symplectic Yangians.

Notes

© Springer Nature B.V. 2018

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