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title:
 
On the Cohomology of the Lie Superalgebra of Contact Vector Fields on S1|2
publication:
 
JNMP
volume-issue:   13 - 4
pages:   523 - 534
ISSN:
  1402-9251
DOI:
  doi:10.2991/jnmp.2006.13.4.7 (how to use a DOI)
author(s):
 
B. AGREBAOUI, N. BEN FRAJ, S. OMRI
publication date:
 
November 2006
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:
 
© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/
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