Semantic Scholar Open Access 2005 217 sitasi

q-Schur algebras and complex reflection groups, I

R. Rouquier

Lihat Sumber DOI

Abstrak

We show that the category O for a rational Cherednik algebra of type A is equivalent to modules over a q-Schur algebra (parameter not a half integer), providing thus character formulas for simple modules. We give some generalization to B_n(d). We prove an ``abstract'' translation principle. These results follow from the unicity of certain highest categories covering Hecke algebras. We also provide a semi-simplicity criterion for Hecke algebras of complex reflection groups.

Topik & Kata Kunci

Mathematics

Penulis (1)

R. Rouquier

Format Sitasi

APA MLA BibTeX

Rouquier, R. (2005). q-Schur algebras and complex reflection groups, I. https://doi.org/10.17323/1609-4514-2008-8-1-119-158

Akses Cepat

Lihat di Sumber doi.org/10.17323/1609-4514-2008-8-1-119-158

Informasi Jurnal

Tahun Terbit: 2005
Bahasa: en
Total Sitasi: 217×
Sumber Database: Semantic Scholar
DOI: 10.17323/1609-4514-2008-8-1-119-158
Akses: Open Access ✓