arXiv Analytics

Sign in

arXiv:1408.4924 [math.RT]AbstractReferencesReviewsResources

Rational and polynomial representations of Yangians

Sergey Khoroshkin, Maxim Nazarov, Alexander Shapiro

Published 2014-08-21Version 1

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.

Comments: 23 pages, published version
Journal: Journal of Algebra 418 (2014) 265-291
Categories: math.RT, math.QA
Related articles: Most relevant | Search more
arXiv:2407.19132 [math.RT] (Published 2024-07-27)
Tensor spaces and the geometry of polynomial representations
arXiv:1311.0820 [math.RT] (Published 2013-11-04)
Polynomial representations of GL(n) and Schur-Weyl duality
arXiv:2401.11071 [math.RT] (Published 2024-01-20)
Lie-Cartan modules and cohomology