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On Cocharacters Associated to Nilpotent Elements of Reductive Groups
| Content Provider | Scilit |
|---|---|
| Author | Fowler, Russell Röhrle, Gerhard |
| Copyright Year | 2008 |
| Description | Let G be a connected reductive linear algebraic group defined over an algebraically 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. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D042226887E039C8CC0544CFCFF36362/S0027763000009582a.pdf/div-class-title-on-cocharacters-associated-to-nilpotent-elements-of-reductive-groups-div.pdf |
| Ending Page | 128 |
| Page Count | 24 |
| Starting Page | 105 |
| ISSN | 00277630 |
| e-ISSN | 21526842 |
| DOI | 10.1017/s0027763000009582 |
| Journal | Nagoya Mathematical Journal |
| Volume Number | 190 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2008-01-01 |
| Access Restriction | Open |
| Subject Keyword | Nagoya Mathematical Journal |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
