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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Grishkov, Alexander [1] ; Zusmanovich, Pasha
Total Authors: 2
[1] Univ Sao Paulo, Inst Math & Stat, BR-05508 Sao Paulo, Brazil. Grishkov, Alexander, Omsk FM Dostoevsky State Univ, Omsk, Russia. Zusmanovich, Pasha, Univ Ostrava, Dept Math, Ostrava - Czech Republic
Total Affiliations: 1
Document type: Journal article
Source: Journal of Algebra; v. 473, p. 513-544, MAR 1 2017.
Web of Science Citations: 1

We compute low-degree cohomology of current Lie algebras extended over the 3-dimensional simple algebra, compute deformations of related semisimple Lie algebras, and apply these results to classification of simple Lie algebras of absolute toral rank 2 and having a Cartan subalgebra of toral rank one. Everything is in characteristic 2. (C) 2016 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 13/12050-2 - Lie Algebras over a field of positiv characteristic and their deformations
Grantee:Alexandre Grichkov
Support Opportunities: Research Grants - Visiting Researcher Grant - International