Kontsevich's wheels and invariant polynomial functions on the dual of lie algebras

Letters in Mathematical Physics

Volumn 52, Issue 4, 2000, Pages 291-300

  Arnal, Didier ^a   Ben Amar, Nabiha ^b  

^a UNIVERSITÉ DE LORRAINE   (France)

^b University of Sfax   (Tunisia)

Author keywords

Deformation quantization; Invariant; Lie algebras

Indexed keywords

EID: 0042027007     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007610715981     Document Type: Article

References (6)

1. Kontsevich, M.: Deformation quantization of Poisson manifolds I, Preprint q-Alg /9709040 (1997).
2. Arnal, D., Ben Amar, N. and Masmoudi, M.: Cohomology of good graphs and Kontsevich linear star product, Lett. Math. Phys. 48 (1999), 291-306.
3. Duflo, M.: Caractères des groupes et algèbres de Lie résolubles, Ann. Sci. Ecole Norm. Sup. (4) 3 (1970), 37-74.
4. Gutt, S.: An explicit (black star) product on the cotangent bundle of a Lie group, Lett. Math. Phys. 7(3) (1983), 249-259.
5. Dixmier, J.: Algèbres enveloppantes, Gauthier-Villars, Paris, 1974.
6. Varadarajan, V. S.: Lie Groups, Lie Algebras and Their Representations, Springer-Verlag, New York, 1984.