Weight 2 blocks of general linear groups and modular Alvis-Curtis duality

Abstract

We obtain the structure of weight 2 blocks and [2:1]-pairs of q-Schur algebras, and compute explicitly the modular Alvis-Curtis duality for weight 2 blocks of finite general linear groups in non-defining characteristic.

27 pages; to appear in Int. Math. Res. Not

References in corpus (2)

• Parities of v-decomposition numbers and an application to symmetric group algebras
• Beyond Rouquier partitions