Block theory via stable and Rickard equivalences

By Raphaël Rouquier. 2001

102 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/e298442abf14b57b87beec2891003231809968ff

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. J. Rickard
2. Raphaël Rouquier
3. C'edric Bonnaf'e
4. J. Chuang
5. B. Keller
6. Changchang Xi
7. Steffen Oppermann
8. Dmitri Orlov

In Geometry and Topology

1. Raphaël Rouquier
2. J. Rickard
3. C'edric Bonnaf'e
4. J. Chuang
5. Alexander S. Kleshchev
6. Jonathan Brundan
7. Aaron D. Lauda
8. David E. V. Rose

In Mathematical Physics

1. Raphaël Rouquier
2. J. Rickard
3. C'edric Bonnaf'e
4. J. Chuang
5. David E. V. Rose
6. Mikhail Khovanov
7. Aaron D. Lauda
8. Alexander S. Kleshchev

Citations in the corpus

• Derived equivalences and finite dimensional algebras (2006, unknown): “The following Theorem [86], [92] shows that a stable equivalence corresponds to “local” Rickard equivalences, for complexes of -permutation modules.”
• Coxeter Orbits and Modular Representations (2005, background): “[Rou1] R. Rouquier, Block theory via stable and Rickard equivalences, Modular rep- resentation theory of finite groups, de Gruyter (2001), pp. 101–146.”
• Derived equivalences for symmetric groups and sl2-categorification (2004, background): “If a splendid complex induces local derived equivalences, then it induces a Rickard equivalence [ Rou4 , Theorem 5.6] (in a more general version, but whose proof extends with no modification) :”
• Equivalences of derived categories for symmetric algebras (2002, methodology): “Moreover, recent work of Rouquier [11],[12] gives a method of constructing such stable equivalences from equivalences of derived categories for smaller groups.”