Finite-dimensional representations of $W$-algebras

By I. Losev. 2011

107 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/0f097f64f47890de124e4f2ba9aa3182dc54fa91

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. I. Losev
2. T. Arakawa
3. V. Ginzburg
4. A. Premet
5. I. Gordon
6. Ben Webster

In Geometry and Topology

1. I. Losev
2. V. Ginzburg
3. T. Arakawa
4. A. Premet
5. I. Gordon
6. Ben Webster

In Mathematical Physics

1. I. Losev
2. V. Ginzburg
3. T. Arakawa
4. A. Premet
5. I. Gordon
6. Ben Webster

Citations in the corpus

• Deformations of symplectic singularities and orbit method for semisimple Lie algebras (2016, methodology): “n Section 4.5. In Section 5 we establish our version of the orbit method. We start by recalling results and constructions related to W-algebras. In Section 5.1 we present their construction following [Lo1, Lo2]. Then in Section 5.2 we recall the restriction functor for HarishChandra bimodules from [”
• On the structure of the category O for W-algebras (2008, unknown): “W(ξ))+ X i,hχi,θi=0 u− i u + i − 1 2 h Xm i=1 χi,ξi. Now let ι l,ιW denote the embeddings of t0 to l,Wand let Φ l be an isomorphism U(l)∧ → AV0(W)∧ similar to that from [Lo1], Theorem 1.2.1. Then, by [Lo2], Theorem 2.3.1 (whose proof works for a non-semisimple group G too), we have (5.9) Φ l(ι l(ξ))”
• Completions of symplectic reflection algebras (2010, methodology): “d version, Theorem 2.5.3) to the study of ideals and Harish-Chandra bimodules of the algebras H,H1,c,Zc. We remark that both our results and our proofs are inspired by those for W-algebras, see [Lo1],[Lo2]. The definition of a Harish-Chandra bimodule is a bit technical so we postpone it (together wit”