Respected readers, authors and reviewers, you can add comments to this page on any questions about the contribution, review, editing and publication of this journal. We will give you an answer as soon as possible. Thank you for your support!
LI Yi-Yang. Ext-transfer for modular Lie algebras[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 1-5. doi: 10.3969/j.issn.1000-5641.2015.01.001
Citation:
LI Yi-Yang. Ext-transfer for modular Lie algebras[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 1-5. doi: 10.3969/j.issn.1000-5641.2015.01.001
LI Yi-Yang. Ext-transfer for modular Lie algebras[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 1-5. doi: 10.3969/j.issn.1000-5641.2015.01.001
Citation:
LI Yi-Yang. Ext-transfer for modular Lie algebras[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 1-5. doi: 10.3969/j.issn.1000-5641.2015.01.001
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.
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.