eBook ISBN: | 978-1-4704-0524-3 |
Product Code: | MEMO/196/918.E |
List Price: | $69.00 |
MAA Member Price: | $62.10 |
AMS Member Price: | $41.40 |
eBook ISBN: | 978-1-4704-0524-3 |
Product Code: | MEMO/196/918.E |
List Price: | $69.00 |
MAA Member Price: | $62.10 |
AMS Member Price: | $41.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 196; 2008; 107 ppMSC: Primary 17
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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Table of Contents
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Chapters
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1. Introduction
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2. Shifted Yangians
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3. Finite $W$-algebras
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4. Dual canonical bases
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5. Highest weight theory
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6. Verma modules
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7. Standard modules
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8. Character formulae
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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.
-
Chapters
-
1. Introduction
-
2. Shifted Yangians
-
3. Finite $W$-algebras
-
4. Dual canonical bases
-
5. Highest weight theory
-
6. Verma modules
-
7. Standard modules
-
8. Character formulae