On cartan invariants and blocks of zassenhaus algebras

Bin Shu; Zhihong Jiang

doi:10.1080/00927870500243270

On cartan invariants and blocks of zassenhaus algebras

Bin Shu, Zhihong Jiang

School of Mathematical Sciences

Tongji University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this article, we determine the Cartan invariants for Zassenhaus algebras W (1,n). This is done by reducing representations of generalized restricted Cartan type Lie algebra W (1,n) to representations of restricted Lie algebras W (1,1) and of b b (2), and then extending Feldvoss-Nakano's argument on W (1,1) to the case W (1,n).

Original language	English
Pages (from-to)	3619-3630
Number of pages	12
Journal	Communications in Algebra
Volume	33
Issue number	10
DOIs	https://doi.org/10.1080/00927870500243270
State	Published - 1 Sep 2005

Keywords

Generalized restricted Lie algebras
Zassenhaus algebras (Cartan type Lie algebras)

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10.1080/00927870500243270

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AB - In this article, we determine the Cartan invariants for Zassenhaus algebras W (1,n). This is done by reducing representations of generalized restricted Cartan type Lie algebra W (1,n) to representations of restricted Lie algebras W (1,1) and of b b (2), and then extending Feldvoss-Nakano's argument on W (1,1) to the case W (1,n).

KW - Generalized restricted Lie algebras

KW - Zassenhaus algebras (Cartan type Lie algebras)

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JO - Communications in Algebra

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On cartan invariants and blocks of zassenhaus algebras

Abstract

Keywords

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