Article

Ext-transfer for modular Lie algebras

  • LI Yi-Yang
Expand

Received date: 2014-03-01

  Online published: 2015-03-29

Abstract

Let G be a connected reductive algebraic group over an algebraically closed field k of prime characteristic p and g = Lie(G). This paper studied the Ext-groups of g with a p-character  of standard Levi form. An Ext-transfer result from g-modules to the modules of its Levi subalgebras was obtained. 

Cite this article

LI Yi-Yang . Ext-transfer for modular Lie algebras[J]. Journal of East China Normal University(Natural Science), 2015 , 2015(1) : 1 -5 . DOI: 10.3969/j.issn.1000-5641.2015.01.001

References

KAC V, WEISFEILER B. Coadjoint action of a semisimple algebraic group and the center of the enveloping algebra in characteristic p [J]. Indag Math, 1976, 38: 136-151.
FRIEDLANDER E M, PARSHALL B. Modular representation theory of Lie algebras [J]. Amer J Math, 1988, 110: 1055-1093.
JANTZEN J C. Representations of Lie algebras in prime characteristic [C]//Proceedings of Representation Theories and Algebraic Geometry, Montreal: NATO ASI, 1997.
JANTZEN J C. Representations of algebraic groups [M]. 2nd ed. Providence, RI: AMS, 2003.
CLINE E. On injective modules for infinitesimal algebraic groups, II [J]. J Algebra, 1990, 134: 271-297.
ERDMANN K. EXT1 for Weyl modules for SL2(k) [J]. Math Zeit, 1995, 218: 447-459.
CLINE E, PARSHALL B, SCOTT L. On Ext-transfer for Algebraic groups [J]. Transformation Groups, 2004, 9(3): 213-236.
JANTZEN J C. Modular representations of reductive Lie algebras[J]. J Pure Appl Algebra, 2000, 152: 133-185.
Outlines

/