Every simple module having character height at most one for a restricted Cartan-type Lie algebra g can be realized as a quotient of a module obtained by starting with a simple module S for the homogeneous component of degree zero in the natural grading of g, extending the action trivially to positiv
Simple generalized restricted modules for graded Lie algebras of Cartan type
โ Scribed by Bin Shu
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 323 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1001-6538
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๐ SIMILAR VOLUMES
## DEDICATED TO PROFESSOR GUANG-YU SHEN ON THE OCCASION OF HIS 65TH BIRTHDAY Let F be an algebraically closed field of characteristic p ) 2. In this paper, the concepts of generalized restricted Lie algebras and their generalized restricted representations over F are introduced. Any graded Lie alg
Let \(L\) be any one of \(W(n, 1), S(n, 1), H(n, 1)\), and \(K(n, 1)\) over an algebraically closed field \(F\) of characteristic \(p>3\). In this paper, we extend the results concerning modular representations of classical Lie algebras and semisimple groups to the case of \(L\) and obtain some prop
We construct four new series of generalized simple Lie algebras of Cartan type, using the mixtures of grading operators and down-grading operators. Our results in this paper are further generalizations of those in Osborn's work (J. Algebra 185 (1996), 820-835).