Memoirs of the American Mathematical Society 2008; 107 pp; softcover Volume: 196 ISBN10: 0821842161 ISBN13: 9780821842164 List Price: US$65 Individual Members: US$39 Institutional Members: US$52 Order Code: MEMO/196/918
 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 GelfandTsetlin characters in terms of known characters of standard modules and certain KazhdanLusztig polynomials. The authors' approach exploits the relationship between shifted Yangians and the finite Walgebras associated to nilpotent orbits in general linear Lie algebras. Table of Contents  Introduction
 Shifted Yangians
 Finite Walgebras
 Dual canonical bases
 Highest weight theory
 Verma modules
 Standard modules
 Character formulae
 Notation
 Bibliography
