Timeline for Irreducible representations of W-algebra in case $\mathfrak sl_3$
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Dec 9, 2010 at 21:50 | history | edited | Bugs Bunny | CC BY-SA 2.5 |
added 3 characters in body
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| Dec 9, 2010 at 21:49 | comment | added | Bugs Bunny | Jim is right. I am fixing my answer. | |
| Dec 9, 2010 at 19:23 | comment | added | Jim Humphreys |
Both "minimal" and "classified" get fuzzy at some points here. Block dealt with the ordinary universal enveloping algebra in rank one and produced a sort-of-classification (probably not usable in practice) to refute Dixmier's earlier assertion that a classification would be impossible. But the minimal nilpotent orbit is not the zero orbit, rather the unique one just above it in the closure ordering. Here the $W$-algebra picture is unrelated to what Block did. (Indeed, in rank one the minimal nilpotent orbit is the regular one.)
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| Dec 9, 2010 at 15:11 | comment | added | Jan Weidner | Maybe I am confused. The universal enveloping algebra is the W-algebra of the $0$-orbit, and the minimal orbit is minimal in the set of all orbits greater then $0$ right? | |
| Dec 9, 2010 at 14:15 | history | answered | Bugs Bunny | CC BY-SA 2.5 |