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/).
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 -