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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54518We 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 gopherHigh Energy Physics - TheoryExtension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operatorstext