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 Modules for the Restricted Cartan Type Lie Algebras
โ Scribed by Randall R. Holmes; Chaowen Zhang
- Book ID
- 111707569
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 306 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1386-923X
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๐ SIMILAR VOLUMES
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
## 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