94 09 06 7 v 1 1 2 Se p 19 94 Extensions of Virasoro group and Virasoro algebra by modules of tensor densities on S 1 Valentin OVSIENKO
نویسنده
چکیده
We classify non-trivial (non-central) extensions of the group Diff(S1) of all diffeomorphisms of the circle preserving its orientation and of the Lie algebra Vect(S1) of vector fields on S1, by the modules of tensor densities on S1. The result is: 4 non-trivial extensions of Diff(S1) and 7 non-trivial extensions of Vect(S1). Analogous results hold for the Virasoro group and the Virasoro algebra. We also classify central extensions of constructed Lie algebras C.N.R.S., Centre de Physique Théorique, Luminy-Case 907, F-13288 Marseille Cedex 9, France URA 746 /Institut de Mathématiques et d’Informatiques/, Université Claude Bernard Lyon I, 43 bd. du 11 Novembre 1918, 69622 Villeurbanne Cedex, France
منابع مشابه
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تاریخ انتشار 2008