C. Roger

collaborators

2 papers

math.QA1998

Deforming the Lie algebra of vector fields on $S^{1}$ inside the Lie algebra of pseudodifferential symbols on $S^{1}$

C. Roger, V. Ovsienko

We classify nontrivial deformations of the standard embedding of the Lie algebra $\Vect(S^1)$ of smooth vector fields on the circle, into the Lie algebra~$\PD(S^1)$ of pseudodiffer…

hep-th1996

Extension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operators

P. Marcel, V. Ovsienko, C. Roger

We consider the universal central extension of the Lie algebra $\Vect (S^1)${\math \s} $C^{\infty} (S^{1})$ . The coadjoint representation of this Lie algebra has a natural geometric i…

Deforming the Lie algebra of vector fields on S1 inside the Lie algebra of pseudodifferential symbols on S1

Extension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operators

Deforming the Lie algebra of vector fields on $S^{1}$ inside the Lie algebra of pseudodifferential symbols on $S^{1}$