Projectively and conformally invariant star-products
Duval, C. ; Gradechi, A. M. El ; Ovsienko, V.
arXiv, 0301052 / Harvested from arXiv
Text on arXiv
We consider the Poisson algebra S(M) of smooth functions on T^*M which are fiberwise polynomial. In the case where M is locally projectively (resp. conformally) flat, we seek the star-products on S(M) which are SL(n+1,R) (resp. SO(p+1,q+1))-invariant. We prove the existence of such star-products using the projectively (resp. conformally) equivariant quantization, then prove their uniqueness, and study their main properties. We finally give an explicit formula for the canonical projectively invariant star-product.
Publié le : 2003-01-07
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics 
@article{0301052,
     author = {Duval, C. and Gradechi, A. M. El and Ovsienko, V.},
     title = {Projectively and conformally invariant star-products},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301052}
}

Duval, C.; Gradechi, A. M. El; Ovsienko, V. Projectively and conformally invariant star-products. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301052/