Timeline for sl(2)-modules...
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 14, 2010 at 0:48 | comment | added | Akhil Mathew | 1. is a general fact about semisimple Lie algebras. 2. can be solved for semisimple Lie algebras in general (indeed, one can give an explicit description as the quotient of the enveloping algebra by a certain ideal), but the solution heavily uses the theory of sl2. | |
| Nov 14, 2009 at 12:35 | comment | added | Dan Petersen | In fact, for n > 2, the unique n-dimensional sl(2)-module is the (n-1):st symmetric power of the 2-dimensional one. So if in alyscia's situation one is asked to prove a property P for all sl(2)-modules, such that: 1) if M and N have property P , then M+N have property P; 2) if M has property P, then sym^n(M) has property P; then it suffices to prove it for the irreducible 2-dimensional module | |
| Nov 14, 2009 at 10:11 | history | answered | Ilya Nikokoshev | CC BY-SA 2.5 |