Representations of Shifted Yangians and Finite $w$-algebras
Seiten
2008
American Mathematical Society (Verlag)
978-0-8218-4216-4 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-4216-4 (ISBN)
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Studies highest weight representations of shifted Yangians over an algebraically closed field of characteristic $0$. This book classifies the finite dimensional irreducible representations and explains how to compute their Gelfand-Tsetlin characters in terms of known characters of standard modules and certain Kazhdan-Lusztig polynomials.
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.
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.
Introduction Shifted Yangians Finite W-algebras Dual canonical bases Highest weight theory Verma modules Standard modules Character formulae Notation Bibliography.
| Erscheint lt. Verlag | 30.12.2008 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 0-8218-4216-1 / 0821842161 |
| ISBN-13 | 978-0-8218-4216-4 / 9780821842164 |
| Zustand | Neuware |
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