Journal of Nonlinear Mathematical Physics

Volume 17, Issue Supplement 1, December 2010, Pages 217 - 251

Analogs of the Orthogonal, Hamiltonian, Poisson, and Contact Lie Superalgebras in Characteristic 2

Authors
Alexei Lebedev
Equa Simulation AB, Stockholm, Sweden,yorool@mail.ru
Received 30 September 2008, Accepted 15 August 2009, Available Online 7 January 2021.
DOI
10.1142/S1402925110000854How to use a DOI?
Keywords
Modular Lie algebra; modular Lie superalgebra
Abstract

Over algebraically closed fields of characteristic 2, the analogs of the orthogonal, symplectic, Hamiltonian, Poisson, and contact Lie superalgebras are described. The number of non-isomorphic types, and several properties of these algebras are unexpected, for example, interpretation in terms of exterior differential forms preserved is not applicable to one of these types. The divided powers of differential forms and related (co)homology are introduced.

Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
17 - Supplement 1
Pages
217 - 251
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110000854How to use a DOI?
Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Alexei Lebedev
PY  - 2021
DA  - 2021/01/07
TI  - Analogs of the Orthogonal, Hamiltonian, Poisson, and Contact Lie Superalgebras in Characteristic 2
JO  - Journal of Nonlinear Mathematical Physics
SP  - 217
EP  - 251
VL  - 17
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110000854
DO  - 10.1142/S1402925110000854
ID  - Lebedev2021
ER  -