Lie Algebras over a field of positiv characteristic and their deformations
Lefschetz fibrations, Lie groupoids and noncommutative geometry
eta-deformations of symmetric integrable sigma models in the presence of spectators
| Full text | |
| Author(s): |
Grishkov, Alexander
[1]
;
Zusmanovich, Pasha
Total Authors: 2
|
| Affiliation: | [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 |
| Abstract | |
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 |