Year: 2015
Type: article
Abstract: We study the decomposition matrices of the unipotent ℓ-blocks of finite special unitary groups SU n ( q ) for unitary primes ℓ larger than n. Up to few unknown entries, we give a complete solution for n = 2 , ... , 10 . We also prove a general result for two-column partitions when ℓ divides q + 1 . This is achieved using projective modules coming from the ℓ-adic cohomology of Deligne–Lusztig varieties.
DOI: 10.1112/plms/pdv008
Authors: Olivier Dudas, Gunter Malle
Institutions: Université Paris Diderot, University of Kaiserslautern
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2053498720