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.
Original language | English (US) |
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Pages (from-to) | 179-187 |
Number of pages | 9 |
Journal | Journal of Nonlinear Mathematical Physics |
Volume | 14 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2007 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics