Representations of Shifted Yangians and Finite $W$-algebras

Representations of Shifted Yangians and Finite $W$-algebras
Author :
Publisher : American Mathematical Soc.
Total Pages : 122
Release :
ISBN-10 : 9780821842164
ISBN-13 : 0821842161
Rating : 4/5 (161 Downloads)

Book Synopsis Representations of Shifted Yangians and Finite $W$-algebras by : Jonathan Brundan

Download or read book Representations of Shifted Yangians and Finite $W$-algebras written by Jonathan Brundan and published by American Mathematical Soc.. This book was released on 2008 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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