Timeline for Weyl algebra and its nontriviality
Current License: CC BY-SA 3.0
3 events
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| Nov 26, 2013 at 1:01 | comment | added | paul garrett | Ah, no, sorry, I thought you were asking just for a good reason for non-triviality. Yes, this map is certainly surjective. The fact that the Weyl (1-) algebra in any case has no proper two-sided ideals is nicely demonstrated in Coutinho's "Primer of Alg D-Modules", for example. | |
| Nov 25, 2013 at 22:43 | comment | added | truebaran | Thank You, but let me ask, if I understood You correct: from Your hint it would follow that there is epimorphism from the "abstract" Weyl algebra to the "concrete" algebra generated by differential operator, and multiplication by $x$. But is this obvious that in fact these two are isomorphic? | |
| Nov 25, 2013 at 1:15 | history | answered | paul garrett | CC BY-SA 3.0 |