Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Pseudo-reductive_group> ?p ?o. }
Showing items 1 to 13 of
13
with 100 items per page.
- Pseudo-reductive_group abstract "In mathematics, a pseudo-reductive group or k-reductive group over a field k is a smooth connected affine algebraic group defined over k whose unipotent k-radical is trivial. The unipotent k-radical is the largest smooth connected unipotent normal subgroup defined over k. Over perfect fields these are the same as (connected) reductive groups, but over non-perfect fields Jacques Tits found some examples of pseudo-reductive groups that are not reductive. A k-reductive group need not be a reductive k-group (a reductive group defined over k). Pseudo-reductive groups arise naturally in the study of algebraic groups over function fields of positive-dimensional varieties in positive characteristic (even over a perfect field of constants).Springer (1998) gives an exposition of Tits' results on pseudo-reductive groups, while Conrad, Gabber & Prasad (2010) builds on Tits' work to develop a general structure theory, including more advanced topics such as construction techniques, root systems and root groups and open cells, classification theorems, and applications to rational conjugacy theorems for smooth connected affine groups over arbitrary fields. The general theory is summarized in Rémy (2011).".
- Pseudo-reductive_group wikiPageExternalLink CBO9780511661143.
- Pseudo-reductive_group wikiPageID "36120746".
- Pseudo-reductive_group wikiPageRevisionID "588384192".
- Pseudo-reductive_group hasPhotoCollection Pseudo-reductive_group.
- Pseudo-reductive_group subject Category:Algebraic_groups.
- Pseudo-reductive_group comment "In mathematics, a pseudo-reductive group or k-reductive group over a field k is a smooth connected affine algebraic group defined over k whose unipotent k-radical is trivial. The unipotent k-radical is the largest smooth connected unipotent normal subgroup defined over k. Over perfect fields these are the same as (connected) reductive groups, but over non-perfect fields Jacques Tits found some examples of pseudo-reductive groups that are not reductive.".
- Pseudo-reductive_group label "Pseudo-reductive group".
- Pseudo-reductive_group sameAs m.0k0wvhx.
- Pseudo-reductive_group sameAs Q7254443.
- Pseudo-reductive_group sameAs Q7254443.
- Pseudo-reductive_group wasDerivedFrom Pseudo-reductive_group?oldid=588384192.
- Pseudo-reductive_group isPrimaryTopicOf Pseudo-reductive_group.