Representations of Shifted Yangians and Finite $w$-algebras (Memoirs of the American Mathematical Society)

Representations of Shifted Yangians and Finite $w$-algebras (Memoirs of the American Mathematical Society)

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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.

Contents

Introduction Shifted Yangians Finite W-algebras Dual canonical bases Highest weight theory Verma modules Standard modules Character formulae Notation Bibliography.

Product Details

  • ISBN13: 9780821842164
  • Format: Paperback
  • Number Of Pages: 107
  • ID: 9780821842164
  • ISBN10: 0821842161

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