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
Representations of Cartan type Lie algebras in characteristic p
โ Scribed by Bin Shu
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 214 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
In this paper, we discuss the representations of Cartan type Lie algebras in characteristic p > 2, from the viewpoint of reducing rank. When the character is regular semisimple for generalized Witt algebras, we can essentially reduce higher-rank representations to lowerrank representations.
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
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).