Cuspidal local systems and graded Hecke algebras, III

By G. Lusztig. 2001

197 citations recorded by the source corpus.

We prove a strong induction theorem for graded Hecke algebras and we classify the tempered and square integrable representations of such algebras using methods of equivariant homology.

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

View Paper: https://www.semanticscholar.org/paper/76acd948c9a0a77ecc916c10c4e5c74844e1e3a7

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. H. Nakajima
2. Zhiwei Yun
3. E. Vasserot
4. Syu Kato
5. M. Varagnolo
6. K. Yoshioka
7. D. Hernandez
8. Alexander S. Kleshchev

In Geometry and Topology

1. H. Nakajima
2. E. Vasserot
3. Zhiwei Yun
4. Syu Kato
5. K. Yoshioka
6. M. Varagnolo
7. D. Hernandez
8. Ben Webster

In Mathematical Physics

1. E. Vasserot
2. Zhiwei Yun
3. H. Nakajima
4. Syu Kato
5. K. Yoshioka
6. M. Varagnolo
7. Ben Webster
8. E. Markman

Citations in the corpus

• Canonical bases and Khovanov-Lauda algebras (2009, background): “There is a lot of literature on the category DG(X), see [BL], [J], [ L3 , sec.”
• Global Springer theory (2011, methodology): “Lusztig for drawing his attention to [25], which is crucial to this paper.”
• Lectures on instanton counting (2003, methodology): “For an equivariant Borel-Moore homology, we use the one given in [ 47 ], but we shift the degree so that the fundamental class [X] has degree 2dim X. This definition is the same as [18].”
• An exotic Deligne-Langlands correspondence for symplectic groups (2006, methodology): “(It is called the unequal parameter case.) Lusztig realized the “graded version” of H (with unequal parameters) via several geometric means [Lu88, Lu89, Lu95b ] (c.f.”