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Simple restricted modules for the restricted contact Lie algebras


Author: Randall R. Holmes
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
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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 [Enhancements On Off] (What's this?)

  • [1] R. R. Holmes and D. K. Nakano, Brauer-type reciprocity for a class of graded associative algebras, J. Algebra 144 (1991). MR 1136900 (93b:16015)
  • [2] J. C. Jantzen, Representations of algebraic groups, Academic Press, Orlando, FL, 1987. MR 899071 (89c:20001)
  • [3] G. Shen, Graded modules of graded Lie algebras of Cartan type $ (III)$-Irreducible modules, Chinese Ann. Math. Ser. B (9) (1988), 404-417. MR 998646 (90e:17034)
  • [4] H. Strade and R. Farnsteiner, Modular Lie algebras and their representations, Marcel Dekker, New York, 1988. MR 929682 (89h:17021)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1992-1112492-9
Article copyright: © Copyright 1992 American Mathematical Society

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