Representations of Shifted Yangians and Finite W-algebras (Memoirs of the American Mathematical Society)
Author： Jonathan Brundan;Alexander Kleshchev
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470405243
P-ISBN(Paperback): 9780821842164
P-ISBN(Hardback): 9780821842164
Subject： O152.5 Lie group
Keyword： Algebra and Algebraic Geometry
Language： ENG
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Representations of Shifted Yangians and Finite W-algebras (Memoirs of the American Mathematical Society)
Description
The authors study highest weight representations of shifted Yangians over an algebraically closed field of characteristic $0$. In particular, they classify the finite dimensional irreducible representations and explain how to compute their Gelfand-Tsetlin characters in terms of known characters of standard modules and certain Kazhdan-Lusztig polynomials. The authors' approach exploits the relationship between shifted Yangians and the finite W-algebras associated to nilpotent orbits in general linear Lie algebras.