Timeline for Isogenies of type A_n, basis of cocharacter lattice
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Feb 1, 2018 at 13:34 | comment | added | Tippy Tipper | @Jim Humphreys: Thanks for your comment. I think your suggestion is what I will end up pursuing. | |
| Feb 1, 2018 at 0:04 | comment | added | Jim Humphreys | Note that the term "isogeny" has a technical meaning for algebraic groups, etc. Aside from this, it's useful to keep in mind that in type $A_n$, all fundamental weights $\varpi_i$ are minuscule, and moreover these are coset representatives (along with 0) for the $n+1$ cosets of the "fundamental group" (weight lattice modulo root lattice). Depending on the goal here, you might consider combining one of these weights with a basis of simple roots for the root lattice. These are not independent but might still be useful for computation. | |
| Jan 31, 2018 at 20:12 | history | edited | Tippy Tipper | CC BY-SA 3.0 |
added 41 characters in body
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| Jan 31, 2018 at 20:12 | comment | added | Tippy Tipper | @LSpice: I mean lattice contained in the coweight lattice and containing the coroot lattice...in the setting of type $A_n$. | |
| Jan 31, 2018 at 19:55 | comment | added | LSpice | By "isogeny of type $A_n$", do you mean "integer lattice containing the root lattice of type $A_n$ with finite index"? | |
| Jan 31, 2018 at 19:55 | history | edited | Martin Sleziak | CC BY-SA 3.0 |
typo in the title
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| Jan 31, 2018 at 19:28 | history | asked | Tippy Tipper | CC BY-SA 3.0 |