Symmetric Groups, Wreath Products, Morita Equivalences, and Broué's Abelian Defect Group Conjecture

By J. Chuang, Radha Kessar. 2002

65 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/95b20b08104a77292edfa4f2325db9bb9cb51d32

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. Alexander S. Kleshchev
2. Jonathan Brundan
3. Raphaël Rouquier
4. Aaron D. Lauda
5. Mikhail Khovanov
6. Weiqiang Wang
7. C. Stroppel
8. Arun Ram

In Discrete Mathematics and Combinatorics

1. Jonathan Brundan
2. Alexander S. Kleshchev
3. Raphaël Rouquier
4. Aaron D. Lauda
5. C. Stroppel
6. I. Gordon
7. Mikhail Khovanov
8. Ben Webster

In Electrical and Electronic Engineering

1. Alexander S. Kleshchev
2. Raphaël Rouquier

Citations in the corpus

• Derived equivalences and finite dimensional algebras (2006, methodology): “After the Morita equivalence theorem of [28], their properties were first analyzed by Miyachi [69], in the more complicated case of general linear groups: decomposition matrices and radical series of Specht modules were determined in the abelian defect case, by a direct analysis of the wreath produc”
• REPRESENTATION THEORY OF SYMMETRIC GROUPS AND THEIR DOUBLE COVERS (2002, background): “This has been proved by Rickard for blocks ofp-weight 5. Moreover, it is now known by work of Marcus [25] and Chuang-Kessar [ 6 ] that the famous Abelian Defect Group Conjecture of Brou e for symmetric groups follows from the Rickard’s conjecture above.”