|
Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 5, Pages 1120–1128
(Mi smj2150)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
Restrictions of modular representations of special linear groups to $A_1\times A_1$ subgroups
A. A. Osinovskaya Institute of Mathematics, Minsk, Belarus
Abstract:
We study the restrictions of infinitesimally irreducible modular representations of algebraic groups of type $A_n$ to subsystem subgroups of type $A_1\times A_1$. Under some restrictions on the highest weight of a representation we find their composition factors.
Keywords:
special linear group, representation, restriction to a subgroup.
Received: 18.09.2009
Citation:
A. A. Osinovskaya, “Restrictions of modular representations of special linear groups to $A_1\times A_1$ subgroups”, Sibirsk. Mat. Zh., 51:5 (2010), 1120–1128; Siberian Math. J., 51:5 (2010), 892–898
Linking options:
https://www.mathnet.ru/eng/smj2150 https://www.mathnet.ru/eng/smj/v51/i5/p1120
|
|