System disruptions
There are recurring service disruptions on some of the search portals due to high traffic. We are working to resolve the issue, you may temporarily encounter an error message.
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations
Stockholm University, Faculty of Science, Department of Mathematics. New York University Abu Dhabi, United Arab Emirates.
Show others and affiliations
Number of Authors: 52020 (English)In: Symmetry, Integrability and Geometry: Methods and Applications, E-ISSN 1815-0659, Vol. 16, article id 089Article in journal (Refereed) Published
Abstract [en]

We overview the classifications of simple finite-dimensional modular Lie algebras. In characteristic 2, their list is wider than that in other characteristics; e.g., it contains desuperizations of modular analogs of complex simple vectorial Lie superalgebras. We consider odd parameters of deformations. For all 15 Weisfeiler gradings of the 5 exceptional families, and one Weisfeiler grading for each of 2 serial simple complex Lie superalgebras (with 2 exceptional subseries), we describe their characteristic-2 analogs - new simple Lie algebras. Descriptions of several of these analogs, and of their desuperizations, are far from obvious. One of the exceptional simple vectorial Lie algebras is a previously unknown deform (the result of a deformation) of the characteristic-2 version of the Lie algebra of divergence-free vector fields; this is a new simple Lie algebra with no analogs in characteristics distinct from 2. In characteristic 2, every simple Lie superalgebra can be obtained from a simple Lie algebra by one of the two methods described in arXiv:1407.1695. Most of the simple Lie superalgebras thus obtained from simple Lie algebras we describe here are new.

Place, publisher, year, edition, pages
2020. Vol. 16, article id 089
Keywords [en]
modular vectorial Lie algebra, modular vectorial Lie superalgebra
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-187730DOI: 10.3842/SIGMA.2020.089ISI: 000575380900001OAI: oai:DiVA.org:su-187730DiVA, id: diva2:1510184
Available from: 2020-12-15 Created: 2020-12-15 Last updated: 2024-07-04Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records

Bouarroudj, SofianeLeites, Dimitry

Search in DiVA

By author/editor
Bouarroudj, SofianeLeites, Dimitry
By organisation
Department of Mathematics
In the same journal
Symmetry, Integrability and Geometry: Methods and Applications
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 44 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf