Timeline for Degree of a commutator in a hyperalgebra or enveloping algebra
Current License: CC BY-SA 3.0
5 events
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Mar 30, 2013 at 22:09 | comment | added | Reimundo Heluani | The associated graded is a Poisson algebra and the Poisson bracket is graded there. If $\sigma(X)$ denotes the symbol of $X$, then I suppose your question is when ${\sigma(X), \sigma(Y)}\neq 0$. I'm not sure there's more you can say. | |
Mar 29, 2013 at 21:34 | history | edited | Chuck Hague | CC BY-SA 3.0 |
bug fixes
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Mar 29, 2013 at 21:31 | comment | added | Chuck Hague | Oh yikes, yes. That's a good point. I obviously haven't thought this through well enough. | |
Mar 29, 2013 at 21:23 | comment | added | Bruce Westbury | Isn't $X=Y$ a counterexample to both your proposals? | |
Mar 29, 2013 at 21:07 | history | asked | Chuck Hague | CC BY-SA 3.0 |