Hom-spaces for subregular nilpotent representations of sl(n+1)
LI Yi-yang1, SHU Bin2, YE Gang2
1. School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China;
2. School of Mathematical Sciences, East China Normal University, Shanghai 200241, China
LI Yi-yang, SHU Bin, YE Gang. Hom-spaces for subregular nilpotent representations of sl(n+1)[J]. Journal of East China Normal University(Natural Sc, 2018, 2018(3): 18-24,45.
[1] KAC V, WEISFEILER B. Coadjoint action of a semisimple algebraic group and the center of the enveloping algebra in characteristic p[J]. Indagationes Mathematicae, 1976, 38:136-151.
[2] FRIEDLANDER E M, PARSHALL B. Modular representation theory of Lie algebras[J]. The American Journal of Mathematics, 1988, 110:1055-1093.
[3] JANTZEN J C. Subregular nilpotent representations of sln and so2n+1[J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1999, 126:223-257.
[4] JANTZEN J C. Representations of Lie algebras in prime characteristic[C]//Proceedings of Representation Theories and Algebraic Geometry. Montreal:NATO ASI, 1997.