On sl(2)-equivariant quantizations
Differential Geometry
2015-06-26 v1 Quantum Algebra
Abstract
By computing certain cohomology of Vect(M) of smooth vector fields we prove that on 1-dimensional manifolds M there is no quantization map intertwining the action of non-projective embeddings of the Lie algebra sl(2) into the Lie algebra Vect(M). Contrariwise, for projective embeddings sl(2)-equivariant quantization exists.
Cite
@article{arxiv.math/0601353,
title = {On sl(2)-equivariant quantizations},
author = {S. Bouarroudj and M. Iyadh Ayari},
journal= {arXiv preprint arXiv:math/0601353},
year = {2015}
}
Comments
09 pages, LaTeX2e, no figures; to appear in Journal of Nonlinear Mathematical Physics