Non-Locality of Equivariant Star Products on $T*(RP^n)$
| dc.creator | Brylinski, Ranee | |
| dc.date | 2000-10-27 | |
| dc.date.accessioned | 2026-07-07T04:38:16Z | |
| dc.date.available | 2026-07-07T04:38:16Z | |
| dc.description | Lecomte and Ovsienko constructed $SL_{n+1}(R)$-equivariant quantization maps $Q_λ$ for symbols of differential operators on $λ$-densities on $\RP^n$. We derive some formulas for the associated graded equivariant star products $star_λ$ on the symbol algebra $Pol(T*\RP^n)$. These give some measure of the failure of locality. Our main result expresses (for $n$ odd) the coefficients $C_p$ of $star_λ$ when $λ=\half$ in terms of some new $SL_{n+1}(C)$-invariant algebraic bidifferential operators $Z_p$ on $T*\CP^n$ and the operators $(E+\frac{n}{2}\pm s)^{-1}$ where $E$ is the fiberwise Euler vector field and $s\in\{1,2,...,[\frac{p}{2}]\}$. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0010259 | |
| dc.identifier | http://arxiv.org/abs/math/0010259 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60211 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Symplectic Geometry | |
| dc.title | Non-Locality of Equivariant Star Products on $T*(RP^n)$ | |
| dc.type | text |