Loading...
Please wait, while we are loading the content...
Similar Documents
On cocharacters associated to nilpotent elements of reductive groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fowler, Russell Röhrle, Gerhard |
| Copyright Year | 2006 |
| Abstract | Let G be a connected reductive linear algebraic group defined over an alge- braically closed field of characteristic p. Assume that p is good for G. In this note we consider particular classes of connected reductive subgroups H of G and show that the cocharacters of H that are associated to a given nilpotent element e in the Lie algebra of H are precisely the cocharacters of G associated to e that take values in H. In particular, we show that this is the case provided H is a connected reductive subgroup of G of maximal rank; this answers a question posed by J.C. Jantzen. |
| Starting Page | 105 |
| Ending Page | 128 |
| Page Count | 24 |
| File Format | PDF HTM / HTML |
| DOI | 10.1017/S0027763000009582 |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0608194v3.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0608194v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0608194v3.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0608194v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1017/S0027763000009582 |
| Volume Number | 190 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
