Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on S1

Indagationes Mathematicae

Volumn 9, Issue 2, 1998, Pages 277-288

  Ovsienko, Valentin ^a   Roger, Claude ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032326025     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(98)80024-4     Document Type: Article

References (9)

1. [ACKP] Arbarello, E., C. De Concini, V.G. Kac and C. Procesi - Moduli Space of Curves and Representation Theory. Comm. Math. Phys. 117, 1-36 (1988).
2. [B] Bott, R. - On the characteristic classes of groups of diffeomorphisms. Enseign Math. 23:3-4, 209-220 (1977).
3. [Br] Brown, K.S. Cohomology of Groups. Springer-Verlag, New York, Heidelberg, Berlin (1982).
4. [FLS] Flato, M., A. Lichnerowicz and D. Sternheimer - Déformations 1-differentiables des algèbres de Lie attachées à une variété symplectique ou de contact. Compositio Math. 31, 47-82 (1975).
5. [F] Fuchs, D.B. - Cohomology of infinite-dimensional Lie algebras. Consultants Bureau, New York (1987).
6. [GF 1] Gelfand, I.M. and D.B. Fuchs - Cohomology of the Lie algebra of vector fields on the circle. Func. Anal. Appl. 2:4, 342-343 (1968).
7. [GF 2] Gelfand, I.M. and D.B. Fuchs - Cohomology of the Lie algebra of vector fields with non-trivial coefficients. Func. Anal. Appl. 2:4, 10-25 (1970).
8. [OR] Ovsienko, V.Yu. and C. Roger - Deformations of Poisson brackets and extensions of Lie algebras of contact vector fields. Russian Math. Surveys 47:6, 135-191 (1992).
9. [T] Tsujishita T. On the continuous Cohomology of the Lie algebra of vector fields. Proc. Jap. Acad. A53, N.4, 134-138 (1977).