On the structure of the category O for W-algebras

By I. Losev. 2008

47 citations recorded by the source corpus.

A W-algebra (of finite type) W is a certain associative algebra associated with a semisimple Lie algebra, say g, and its nilpotent element, say e. The goal of this paper is to study the category O for W introduced by Brundan, Goodwin and Kleshchev. We establish an equivalence of this category with certain category of g-modules. In the case when e is of principal Levi type (this is always so when g is of type A) the category of g-modules in interest is the category of generalized Whittaker modules introduced by McDowell, and studied by Milicic-Soergel and Backelin.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/41155f99f8933647ac03aa465ec60ae58a06201f

How researchers see this paper

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In Algebra and Number Theory

1. I. Gordon
2. I. Losev
3. V. Ginzburg
4. E. Gorsky
5. T. Arakawa
6. A. Premet
7. Ben Webster
8. T. Nevins

In Geometry and Topology

1. I. Gordon
2. I. Losev
3. V. Ginzburg
4. Pavel Etingof
5. Stephen Griffeth
6. E. Gorsky
7. T. Arakawa
8. A. Premet

In Mathematical Physics

1. I. Losev
2. I. Gordon
3. V. Ginzburg
4. Pavel Etingof
5. Stephen Griffeth
6. E. Gorsky
7. T. Arakawa
8. A. Premet

Citations in the corpus

• On category O for cyclotomic rational Cherednik algebras (2011, methodology): “The definition is inspired by the definition of the category Osph for W-algebras [13], [42], and for hypertoric varieties [10].”