Timeline for Finding a character of height zero
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 20, 2013 at 22:58 | answer | added | Jim Humphreys | timeline score: 3 | |
| Dec 20, 2013 at 18:24 | answer | added | Geoff Robinson | timeline score: 4 | |
| Dec 19, 2013 at 22:22 | answer | added | Marty Isaacs | timeline score: 5 | |
| Dec 19, 2013 at 11:56 | comment | added | Jim Humphreys | This is just a matter of understanding the definitions (which occur at a fairly advanced level of modular representation theory, best studied in a textbook like Curtis-Reiner or Isaacs). Start with the exact $p$-power $p^a$ in $|G|$ and the defect $d \leq a$ of a given block of irreducible characters. By definition of $d$, there is a character in the block of height 0 (e.g., trivial character in principal block of defect $a$ or unique character in a block of defect 0). There is no canonical choice in general, just an existence statement based on the definition of $d$. | |
| Dec 19, 2013 at 0:59 | history | asked | user26223 | CC BY-SA 3.0 |