Induced and simple modules of double affine Hecke algebras

By E. Vasserot. 2002

49 citations recorded by the source corpus.

We classify the simple integrable modules of double affine Hecke algebras via perverse sheaves. We get also some estimate for the Jordan-Holder multiplicities of induced modules.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/dcb6784d5dd50c011cdb1a3bafb2261c3fcd29b0

How researchers see this paper

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

In Discrete Mathematics and Combinatorics

1. Pavel Etingof
2. Y. Berest
3. V. Ginzburg
4. Zhiwei Yun
5. I. Gordon
6. Michael Eisermann
7. R. Bezrukavnikov

In Geometry and Topology

1. V. Ginzburg
2. Pavel Etingof
3. I. Gordon
4. Y. Berest
5. Zhiwei Yun
6. I. Losev
7. R. Bezrukavnikov
8. Alexei Oblomkov

In Mathematical Physics

1. Pavel Etingof
2. V. Ginzburg
3. I. Gordon
4. Y. Berest
5. I. Losev
6. Zhiwei Yun
7. R. Bezrukavnikov
8. Alexei Oblomkov

Citations in the corpus

• Global Springer theory (2011, background): “The work of Vasserot [33] and Varagnolo and Vasserot [32] extends this to an action of the double affine Hecke algebra (DAHA) on the homology of affine Springer fibers.”
• Finite-dimensional representations of rational Cherednik algebras (2002, methodology): “Motivated by the well-known geometric interpretation of the affine Hecke algebra (see [CG, ch. 7] for a review), E. Vasserot [Va] has produced a similar construction for the algebra Hq,t.”