Timeline for quantization of Poisson manifolds/ bialgebras
Current License: CC BY-SA 3.0
5 events
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| Apr 17, 2023 at 22:56 | comment | added | The Amplitwist |
The link to springerlink.com is broken. I'm also unable to find any snapshot saved on the Wayback Machine.
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| Apr 12, 2012 at 21:58 | comment | added | Theo Johnson-Freyd | What Poisson structure do you have in mind for R^n? In any case, it is known that Kontsevich's formula when applied to the dual to a Lie algebra does reproduce the universal enveloping algebra, but not in the BCH coordinates — you have to conjugate by the Duflo map. It is not expected that Kontsevich's quantization preserves group structures (perhaps it is known not to — I'm not sure). Note that both Etingof–Kazhdan and Kontsevich formulas are "local/formal" things: they really are about coordinate patches, and so every manifold "is" R^n. Both EK and K do have globalization results too. | |
| Apr 12, 2012 at 20:42 | comment | added | MTS | You are much more likely to get a helpful response to your question if you include some additional information. What is the statement of the theorem that you are referring to? Do you understand the hypotheses? Are the hypotheses satisfied for the example you are referring to? The more specific you can be, the better. | |
| Apr 12, 2012 at 20:16 | history | edited | chu |
edited tags
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| Apr 12, 2012 at 17:52 | history | asked | chu | CC BY-SA 3.0 |