Timeline for Number of K-generators of an algebra and type $D_n$-parking functions
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Nov 9, 2020 at 7:18 | comment | added | F. C. | And for $E_7$, one gets $221714415 = 3^6 * 5 * 13 * 4679$. | |
Nov 6, 2020 at 10:40 | comment | added | F. C. | There seems to be some divisibility by h/2, where h is the Coxeter number. The Auslander-Reiten translation acts on the set of bases for the K-group. The order of every orbit divides h. Not clear to me what the stabilizers can be. | |
Nov 5, 2020 at 20:26 | comment | added | F. C. | For $E_6$, one gets $846720 = 2^7 * 3^3 * 5 * 7^2$. | |
Nov 5, 2020 at 20:26 | comment | added | F. C. | For $D_6$, one gets 228055 = 5 * 17 * 2683. This does not match the number of maximal chains in the noncrossing partition lattices. | |
Oct 30, 2020 at 22:29 | history | edited | Mare | CC BY-SA 4.0 |
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Oct 30, 2020 at 22:19 | history | edited | Mare | CC BY-SA 4.0 |
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Oct 30, 2020 at 22:12 | history | asked | Mare | CC BY-SA 4.0 |