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Restricting representations of classical algebraic groups to maximal subgroups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cavallin, Mikaël Burness, Timothy C. Lübeck, Frank |
| Copyright Year | 2015 |
| Abstract | Fix an algebraically closed field K having characteristic p ≥ 0 and let Y be a simple algebraic group of classical type over K. Also let X be maximal among closed connected subgroups of Y and consider a p-restricted irreducible rational KY -module V. In this thesis, we investigate the triples (Y,X, V ) such that X acts with exactly two composition factors on V and see how it generalizes a question initially investigated by Dynkin in the 1950s and then further studied by numerous mathematicians. In particular, we study the natural embeddings of Spin2n(K) in Spin2n+1(K) as well as SO2n(K) in SL2n(K) and obtain results on the structure of certain Weyl modules. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://infoscience.epfl.ch/record/211110/files/EPFL_TH6583.pdf |
| Alternate Webpage(s) | http://infoscience.epfl.ch/record/211110/files/EPFL_TH6583.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Irreducibility Linear algebra Maximal set |
| Content Type | Text |
| Resource Type | Article |
