Timeline for Realizing root-system roots as polynomial roots without Lie theory
Current License: CC BY-SA 3.0
4 events
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| Mar 4, 2018 at 1:42 | comment | added | Mike Pierce | I may not have made my question clear. I was hoping for a characterization that didn't mention Lie algebras, their Cartan subalgebra, etc, at all. Instead I was hoping for a characterization coming just from the perspective of abstract root systems like are described in Humphrey's Reflection Groups and Coxeter Groups. | |
| Mar 4, 2018 at 1:23 | history | edited | Ben Webster♦ | CC BY-SA 3.0 |
added 117 characters in body
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| Mar 3, 2018 at 21:32 | comment | added | LSpice | I would say (as you clearly meant) that it's the same as the characteristic polynomial, up to multiplication by powers of $x$, by the definition of 'root' and the fact that root spaces are one-dimensional. | |
| Mar 3, 2018 at 20:57 | history | answered | Ben Webster♦ | CC BY-SA 3.0 |