Representations of shifted Yangians and finite W-algebras
Author(s)
Bibliographic Information
Representations of shifted Yangians and finite W-algebras
（Memoirs of the American Mathematical Society, no. 918）
American Mathematical Society, 2008
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Note
"Volume 196, number 918 (end of volume)."
Includes bibliographical references (p. 105-107)
Description and Table of Contents
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.
Table of Contents
Introduction Shifted Yangians Finite W-algebras Dual canonical bases Highest weight theory Verma modules Standard modules Character formulae Notation Bibliography.
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