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…