ON QUASI-TORAL RESTRICTED LIE ALGEBRAS

2005 ◽  
Vol 26 (02) ◽  
pp. 207-218 ◽  
Author(s):  
LIANGYUN CHEN ◽  
DAOJI MENG ◽  
BIN REN
Keyword(s):  
Lie Algebras ◽  
Restricted Lie Algebras

Endotrivial modules for nilpotent restricted Lie algebras

2020 ◽  
Vol 114 (5) ◽  
pp. 503-513
Author(s):  
David J. Benson ◽  
Jon F. Carlson
Keyword(s):  
Lie Algebras ◽  
Restricted Lie Algebras

Finite group schemes of p-rank ≤ 1

2017 ◽  
Vol 166 (2) ◽  
pp. 297-323
Author(s):  
HAO CHANG ◽  
ROLF FARNSTEINER
Keyword(s):  
Finite Group ◽  
Lie Algebras ◽  
Group Scheme ◽  
Closed Field ◽  
Difficult Case ◽  
Modular Representation Theory ◽  
Group Schemes ◽  
Restricted Lie Algebras ◽  
A Finite Group ◽  
Finite Group Schemes

AbstractLet be a finite group scheme over an algebraically closed field k of characteristic char(k) = p ≥ 3. In generalisation of the familiar notion from the modular representation theory of finite groups, we define the p-rank rkp() of and determine the structure of those group schemes of p-rank 1, whose linearly reductive radical is trivial. The most difficult case concerns infinitesimal groups of height 1, which correspond to restricted Lie algebras. Our results show that group schemes of p-rank ≤ 1 are closely related to those being of finite or domestic representation type.

scholarly journals Cohomology of generalized restricted Lie algebras

2004 ◽  
Vol 277 (1) ◽  
pp. 3-26 ◽  
Author(s):  
Zhihong Jiang ◽  
Guangyu Shen
Keyword(s):  
Lie Algebras ◽  
Restricted Lie Algebras

Cartan matrices for restricted Lie algebras

2013 ◽  
Vol 275 (1-2) ◽  
pp. 569-594 ◽  
Author(s):  
Jens Carsten Jantzen
Keyword(s):  
Lie Algebras ◽  
Restricted Lie Algebras ◽  
Cartan Matrices
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