Mickelsson algebras and representations of Yangians

DOI10.1090/S0002-9947-2011-05367-5zbMath1244.17009arXiv0912.1101OpenAlexW2018627530MaRDI QIDQ2880683

M. L. Nazarov, Sergey M. Khoroshkin

Publication date: 13 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1101

zbMATH Keywords

YangianHowe dualityMickelsson algebraDrinfeld functorCherednik functor

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35)

Related Items

Representations of twisted Yangians of types B, C, D: I, Twisted Yangians for symmetric pairs of types B, C, D, Contravariant forms and extremal projectors, Diagonal reduction algebra and the reflection equation, Differential calculus on \(\mathbf{h}\)-deformed spaces, A generalized Harish-Chandra isomorphism, Rational and polynomial representations of Yangians, Irreducible representations of Yangians, Rational representations of the Yangian \(\text Y(\mathfrak {gl}_n)\), Non-gatherable triples for classical affine root systems, Contravariant form for reduction algebras, A direct proof of a generalized Harish-Chandra isomorphism, Relative Yangians of Weyl type, Modules for relative Yangians (family algebras) and Kazhdan-Lusztig polynomials, Representations of twisted Yangians of types B, C, D. II, Representations of the Yangian of a Lie superalgebra of type $ A(m,n)$

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