Timeline for What is the spinor genus of the Leech lattice?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 13, 2016 at 13:06 | vote | accept | David Treumann | ||
| Oct 28, 2016 at 21:31 | answer | added | WKC | timeline score: 3 | |
| Oct 13, 2016 at 18:00 | answer | added | Will Jagy | timeline score: 2 | |
| Oct 13, 2016 at 17:55 | comment | added | David Treumann | Thanks Will. How is the mass of a spinor genus defined? Should I weight each lattice by the order of a finite subgroup of Spin(24), and if so which subgroup? | |
| Oct 13, 2016 at 17:34 | comment | added | Will Jagy | hmmmm. All those numbers are even except for $D_{24},$ so such a partitioning is impossible. Similar, all the numbers are divisible by $5$ except $A^6_4.$ That seems to be it. | |
| Oct 13, 2016 at 17:25 | comment | added | Will Jagy | table 16.6 on page 413 of SPLAG gives the reciprocal of the automorphism count, all multiplied by a huge common denominator. So, one may try to partition 16.6 into two sets with equal sums. | |
| Oct 13, 2016 at 17:21 | comment | added | Will Jagy | see mathoverflow.net/questions/54027/… I think it likely that the genus and spinor genus coincide, as the masses of spinor genera in a genus are equal. However, if you can find a partition of the list of automorphism counts with two equal reciprocal sums, maybe... | |
| Oct 13, 2016 at 16:00 | history | asked | David Treumann | CC BY-SA 3.0 |