Timeline for Fundamental invariants for root subsystems
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jan 22, 2016 at 14:49 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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| Oct 30, 2015 at 14:00 | comment | added | Jim Humphreys | Since the literature on polynomial invariants is so diverse and scattered, I'm not absolutely sure what's there. But the question itself is natural, given the divisibility of degrees. Some case study is perhaps needed, starting with type $A_n$ and the elementary symmetric polynomials. | |
| Oct 29, 2015 at 23:21 | comment | added | Dr. Evil | Thank you for the extensive answer Jim. Another related question one can ask is: suppose $P_1,\cdots, P_\ell$ are algebraically independent generators for invariant polynomials associated to a finite Coxeter group $G$. Now let $H$ be a parabolic subgroup of $G$. Can we somehow start with $P_i$'s and obtain algebraically independent generators for invariant polynomials associated to $H$? From your explanations above, I gather that this question is not settled in the literature (though there are some partial information when there is folding, etc.) | |
| Oct 29, 2015 at 23:18 | vote | accept | Dr. Evil | ||
| Nov 2, 2015 at 2:51 | |||||
| Oct 28, 2015 at 23:43 | history | answered | Jim Humphreys | CC BY-SA 3.0 |