scholarly journals On simple 15-dimensional Lie algebras in characteristic 2

2021 ◽  
Author(s):  
Alexander Grishkov ◽  
Henrique Guzzo ◽  
Marina Rasskazova ◽  
Pasha Zusmanovich
Keyword(s):  
Lie Algebras ◽  
Characteristic 2

New Simple Lie Algebras in Characteristic 2

2015 ◽  
Vol 2016 (18) ◽  
pp. 5695-5726 ◽  
Author(s):  
Sofiane Bouarroudj ◽  
Pavel Grozman ◽  
Alexei Lebedev ◽  
Dimitry Leites ◽  
Irina Shchepochkina
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Characteristic 2

scholarly journals Centre-by-metabelian Lie algebras

1973 ◽  
Vol 15 (3) ◽  
pp. 259-264 ◽  
Author(s):  
M. R. Vaughan-Lee
Keyword(s):  
Recent Result ◽  
Lie Algebras ◽  
Basis Property ◽  
Finite Basis ◽  
Metabelian Groups ◽  
Finite Basis Property ◽  
Characteristic 2

If V is a variety of metabelian Lie algebras then V has a finite basis for its laws [3]. The proof of this result is similar to Cohen's proof that varieties of metabelian groups have the finite basis property [1]. However there are centre-by-metabelian Lie algebras of characteristic 2 which do not have a finite basis for their laws [4] this contrasts with McKay's recent result that varieties of centre-by-metabelian groups do have the finite basis property [2]. The rollowing theorem shows that once again “2” is the odd man out.

scholarly journals Deformations of current Lie algebras. I. Small algebras in characteristic 2

2017 ◽  
Vol 473 ◽  
pp. 513-544 ◽  
Author(s):  
Alexander Grishkov ◽  
Pasha Zusmanovich
Keyword(s):  
Lie Algebras ◽  
Characteristic 2

scholarly journals Structure of low dimensional n-Lie algebras over a field of characteristic 2

2008 ◽  
Vol 428 (8-9) ◽  
pp. 1912-1920 ◽  
Author(s):  
Rui-pu Bai ◽  
Xiao-ling Wang ◽  
Wen-ying Xiao ◽  
Hong-wei An
Keyword(s):  
Lie Algebras ◽  
Characteristic 2 ◽  
Low Dimensional

scholarly journals Weyl Images of Kantor Pairs

2017 ◽  
Vol 69 (4) ◽  
pp. 721-766 ◽  
Author(s):  
Bruce Allison ◽  
John Faulkner ◽  
Oleg Smirnov
Keyword(s):  
Root System ◽  
Lie Algebras ◽  
Graded Lie Algebras ◽  
Infinite Dimensional ◽  
Characteristic 2 ◽  
Central Simple

AbstractKantor pairs arise naturally in the study of 5-graded Lie algebras. In this article, we introduce and study Kantor pairs with short Peirce gradings and relate themto Lie algebras graded by the root system of type BC2. This relationship allows us to define so-called Weyl images of short Peirce graded Kantor pairs. We use Weyl images to construct new examples of Kantor pairs, including a class of infinite dimensional central simple Kantor pairs over a field of characteristic ≠ 2 or 3, as well as a family of forms of a split Kantor pair of type E6.

scholarly journals EXAMPLES OF SIMPLE VECTORIAL LIE ALGEBRAS IN CHARACTERISTIC 2

2010 ◽  
Vol 17 (sup1) ◽  
pp. 311-374
Author(s):  
UMA N. IYER ◽  
DIMITRY LEITES ◽  
MOHAMED MESSAOUDENE ◽  
IRINA SHCHEPOCHKINA
Keyword(s):  
Lie Algebras ◽  
Characteristic 2
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