Extension of the Virasoro and Neveu-Schwartz algebras and generalized   Sturm-Liouville operators
  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 interpretation by matrix analogues of the Sturm-Liouville operators. This approach leads to new Lie superalgebras generalizing the well-known Neveu-Schwartz algebra. 
P. Marcel, V. Ovsienko, (CNRS, Luminy--Marseille, FRANCE) and C. Roger   (Universit\'e Lyon I, FRANCE)