Representations of Shifted Yangians and Finite W-algebras

By Jonathan Brundan, Alexander S. Kleshchev. 2005

151 citations recorded by the source corpus.

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

Subfields: Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/b13cd04c2968194a09a81f827304ef53e3faae12

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In Computational Theory and Mathematics

1. S. Ovsienko
2. I. Losev
3. Alexander I. Molev
4. Tudor Dimofte
5. Vyacheslav Futorny
6. D. Gaiotto

In Management Science and Operations Research

1. S. Ovsienko
2. I. Losev
3. Alexander I. Molev
4. Vyacheslav Futorny

Citations in the corpus

• The Coulomb Branch of 3d N = 4 Theories (2015, background): “Part of this work was developed during visits of TD (28)Shifted Yangians were first introduced and studied in [79, 80].”
• On the structure of the category O for W-algebras (2008, background): “It was studied extensively during the last decade starting from Premet’s paper [Pr1], see also [BGK],[BK1],[ BK2 ],[GG],[Gi],[Lo1],[Lo2], [Pr2]-[Pr4].”
• The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite W-algebras (2010, methodology): “Recall that the Miura transform [8] is an injective homomorphism”
• Quantized symplectic actions and W -algebras (2007, background): “Brundan and Kleshchev, [BrKl1], [ BrKl2 ], studied the algebras U (g ,e ) for g = sln.”
• Representation theory of symmetric groups and related Hecke algebras (2009, unknown): “We now define the finite W -algebra W (λ) associated to the partition λ, following [36]; see also [165, 71].”