Journal of Nonlinear Mathematical Physics

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Volume 13, Issue 4, November 2006, Pages 523 - 534

On the Cohomology of the Lie Superalgebra of Contact Vector Fields on S1|2

Authors
B. Agrebaoui, N. Ben Fraj, S. Omri
Corresponding Author
B. Agrebaoui
Received 5 January 2006, Accepted 6 March 2006, Available Online 1 November 2006.
DOI
10.2991/jnmp.2006.13.4.7How to use a DOI?
Abstract

We investigate the first cohomology space associated with the embedding of the Lie superalgebra K(2) of contact vector fields on the (1,2)-dimensional supercircle S1|2 in the Lie superalgebra SDO(S1|2 ) of superpseudodifferential operators with smooth coefficients. Following Ovsienko and Roger, we show that this space is ten-dimensional with only even cocycles and we give explicit expressions of the basis cocycles.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 4
Pages
523 - 534
Publication Date
2006/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2006.13.4.7How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - B. Agrebaoui
AU  - N. Ben Fraj
AU  - S. Omri
PY  - 2006
DA  - 2006/11/01
TI  - On the Cohomology of the Lie Superalgebra of Contact Vector Fields on S1|2
JO  - Journal of Nonlinear Mathematical Physics
SP  - 523
EP  - 534
VL  - 13
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.4.7
DO  - 10.2991/jnmp.2006.13.4.7
ID  - Agrebaoui2006
ER  -