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

Marcel, P.; Ovsienko, V.; Roger, C.

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

Authors

Marcel, P.

Ovsienko, V.

Roger, C.

Description

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.
11 pages, anonymous ftp at ftp://cpt.univ.-mrs.fr/ or gopher