On the cohomology of sℓ(m + 1, ℝ) acting on differential operators and sℓ(m + 1, ℝ)-equivariant symbol

Indagationes Mathematicae

Volumn 11, Issue 1, 2000, Pages 95-114

  Lecomte, P B A ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034731884     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(00)88577-8     Document Type: Article

References (12)

1. Chow, Y. - General Theory of Lie Algebras. Vol. 1 and Vol. 2. Gordon and Breach. New York, London, Paris (1978).
2. Cohen, P., Y. Manin and D. Zagier - Automorphic Pseudodifferential Operators. Preprint MPI (1995).
3. C. Duval, V. Ovsienko. Space of second order linear differential operators as a module over the Lie algebra of vector fields. To appear in Advances in Math.
4. D.B. Fuks. - Cohomology of Infinite Dimensional Lie Algebras. Contemporary Soviet Mathematics. Consultant Bureau. New York and London (1986).
5. H. Gargoubi, V. Ovsienko. Space of linear differential operators on the real line as a module over the Lie algebra of vector fields. Int. Res. Math. Notes, 5 (1996), pp. 235-251.
6. H. Gargoubi. Modules des Opérateurs Différentiels sur la Droite : Géométrie Projective et Cohomologie de Gelfand-Fuks. Thèse de doctorat. Université de Marseille Provence I (1997).
7. W. Greub, S. Halperin, R. Vanstone. - Connections, curvature and cohomology. Vol. I. Pure and Applied Mathematics 47. Academic Press. New York and London (1972).
8. P. Lecomte, V. Ovsienko. Projectively Invariant Symbol Map and Cohomology of Vector Fields Lie Algebras Intervening in Quantization. Preprint CPT-CNRS Luminy (1996).
9. P. Lecomte, P. Mathonet, E. Tousset. Comparison of some modules of the Lie algebra of vector fields. Indag. Mathem., N.S., 7(4) (1996), pp. 461-471.
10. J. Peetre. Une caractérisation des opérateurs différentiels. Math. Scand. 7 (1959), pp. 211-218 and 8 (1960), pp. 116-120.
11. J. Peetre. Une caractérisation des opérateurs différentiels. Math. Scand. 7 (1959), pp. 211-218 and 8 (1960), pp. 116-120.
12. H. Weyl. - The Classical Groups, their Invariants and Representations. Princeton Math. Series. Princeton (1946).