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Finite Cartan matrices and Lie algebras of classical type

โœ Scribed by Shirlei Serconek

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
275 KB
Volume
66
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

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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.

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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

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โœ Bin Shu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 363 KB

## 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