Simple restricted modules for the restricted contact Lie algebras
HTML articles powered by AMS MathViewer
- by Randall R. Holmes PDF
- Proc. Amer. Math. Soc. 116 (1992), 329-337 Request permission
Abstract:
It is shown that, with a few exceptions, the simple restricted modules for a restricted contact Lie algebra are induced from those for the homogeneous component of degree zero.References
- Randall R. Holmes and Daniel K. Nakano, Brauer-type reciprocity for a class of graded associative algebras, J. Algebra 144 (1991), no. 1, 117–126. MR 1136900, DOI 10.1016/0021-8693(91)90132-R
- Jens Carsten Jantzen, Representations of algebraic groups, Pure and Applied Mathematics, vol. 131, Academic Press, Inc., Boston, MA, 1987. MR 899071
- Guang Yu Shen, Graded modules of graded Lie algebras of Cartan type. III. Irreducible modules, Chinese Ann. Math. Ser. B 9 (1988), no. 4, 404–417. A Chinese summary appears in Chinese Ann. Math. Ser. A 9 (1988), no. 5, 634. MR 998646
- Helmut Strade and Rolf Farnsteiner, Modular Lie algebras and their representations, Monographs and Textbooks in Pure and Applied Mathematics, vol. 116, Marcel Dekker, Inc., New York, 1988. MR 929682
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 329-337
- MSC: Primary 17B50; Secondary 17B10, 17B70
- DOI: https://doi.org/10.1090/S0002-9939-1992-1112492-9
- MathSciNet review: 1112492