TY - JOUR
T1 - Representations of finite special linear groups in non-defining characteristic
AU - Kleshchev, Alexander S.
AU - Tiep, Pham Huu
N1 - Funding Information:
✩ Research supported by the NSF (grants DMS-0654147 and DMS-0600967). This work was completed when both authors visited MSRI, whom we thank for support. * Corresponding author. E-mail addresses: [email protected] (A.S. Kleshchev), [email protected] (P.H. Tiep). 1 Present address: Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA.
PY - 2009/1/30
Y1 - 2009/1/30
N2 - We classify irreducible modules over the finite special linear group SLn (q) in the non-defining characteristic ℓ, describe restrictions of irreducible modules from GLn (q) to SLn (q), classify complex irreducible characters of SLn (q) irreducible modulo l, and discuss unitriangularity of the l-decomposition matrix for SLn (q).
AB - We classify irreducible modules over the finite special linear group SLn (q) in the non-defining characteristic ℓ, describe restrictions of irreducible modules from GLn (q) to SLn (q), classify complex irreducible characters of SLn (q) irreducible modulo l, and discuss unitriangularity of the l-decomposition matrix for SLn (q).
KW - Finite special linear group
KW - Group theory
KW - Modular representation theory
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U2 - 10.1016/j.aim.2008.09.011
DO - 10.1016/j.aim.2008.09.011
M3 - Article
AN - SCOPUS:55749114208
SN - 0001-8708
VL - 220
SP - 478
EP - 504
JO - Advances in Mathematics
JF - Advances in Mathematics
IS - 2
ER -