Timeline for differential of the characteristic polynomial
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 12, 2013 at 0:32 | answer | added | Jim Humphreys | timeline score: 2 | |
| Jun 12, 2013 at 0:14 | comment | added | user29283 | If $\chi_1,\dots,\chi_r$ are the characters of the fundamental representations then $\chi$ is the map $g \mapsto (\chi_i(g))$, so why don't Theorem 8.1 and Lemma 8.5 in Steinberg's IHES paper answer the 2nd question? If you write a regular semisimple element as an explicit conjugate of a regular element of $T$ then the problem seems to "reduce" to the case of regular elements of $T$, and $(G/T) \times T \rightarrow G$ defined by $(g,t)\mapsto gtg^{-1}$ is finite etale over the Zariski-open regular semisimple locus, so it would help if you define what you mean by "compute"...in terms of what? | |
| Jun 11, 2013 at 21:49 | history | asked | prochet | CC BY-SA 3.0 |