Finite dimensional representations of DAHA and affine Springers fibers : the spherical case
By M. Varagnolo, E. Vasserot. 2007
50 citations recorded by the source corpus.
We classify finite dimensional simple spherical representations of rational double affine Hecke algebras, and we study a remarkable family of finite dimensional simple spherical representations of double affine Hecke algebras.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b9d3a1a6385318d3352427a3823f339ac376e507
How researchers see this paper
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In Algebra and Number Theory
- Alexei Oblomkov
- E. Gorsky
- Andrei Neguct
- I. Danilenko
- Zhiwei Yun
- I. Cherednik
- Raphaël Rouquier
- Tom H. Koornwinder
In Geometry and Topology
- E. Gorsky
- I. Danilenko
- Andrei Neguct
- Alexei Oblomkov
- I. Cherednik
- Zhiwei Yun
- Jacob Rasmussen
- Vivek V. Shende
In Mathematical Physics
- Alexei Oblomkov
- I. Cherednik
- I. Danilenko
- E. Gorsky
- Andrei Neguct
- Zhiwei Yun
- Jacob Rasmussen
- Vivek V. Shende
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.”
- Refined knot invariants and Hilbert schemes (2013, background): “Such representations were classified in [58], and in type AN they occur when q is a root of unity of degree k + βN , where t = q .”
- DAHA and iterated torus knots (2014, methodology): “The latter paper, where the connection with the affine Springer fibers was established, provides a certain link to the theory of DAHA modules [45; 49], though we cannot relate this to our using DAHA.”
- Geometric representations of graded and rational Cherednik algebras (2014, methodology): “In [38] connected components of A− ⋃ (ν-walls) are called clans.”