Boujemaa Agrebaoui, Nizar Ben Fraj, Salem Omri
Published 2006-03-23Version 1
We classify nontrivial deformations of the standard embedding of the Lie superalgebra K(1) of contact vector fields on the (1,1)-dimensional supercircle into the Lie superalgebra of superpseudodifferential operators on the supercircle. This approach leads to the deformations of the central charge induced on K(1) by the canonical central extension of $S\Psi DO$.
Journal: Journal of Nonlinear Mathematical Physics 13 (2006) no. 1, 19--33
Deforming the Lie Superalgebra $\mathcal{K}(1)$-Modules Of Symbols
On the Cohomology of the Lie Superalgebra of Contact Vector Fields on $S^{1|2}$
Gel'fand-Zetlin Basis and Clebsch-Gordan Coefficients for Covariant Representations of the Lie superalgebra gl(m|n)
