**Author**: Alexander Kleshchev, Jonathan Brundan

**Publisher:**American Mathematical Soc.

**ISBN:**9780821866597

**Size**: 45.69 MB

**Format:**PDF, ePub

**Category :**

**Languages :**en

**Pages :**

**View:**4547

## Representations Of Shifted Yangians And Finite W Algebras

by Alexander Kleshchev, Jonathan Brundan, Representations Of Shifted Yangians And Finite W Algebras Books available in PDF, EPUB, Mobi Format. Download**Representations Of Shifted Yangians And Finite W Algebras books**, 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.