Matches in SemOpenAlex for { <https://semopenalex.org/work/W2144800320> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2144800320 endingPage "565" @default.
- W2144800320 startingPage "558" @default.
- W2144800320 abstract "Let k be an algebraically closed field and let G be a reductive linear algebraic group over k . Let P be a parabolic subgroup of G , P u its unipotent radical and p u the Lie algebra of P u . A fundamental result of R. Richardson says that P acts on p u with a dense orbit (see [R.W. Richardson, Bull. London Math. Soc. 6 (1974) 21–24]). The analogous result for the coadjoint action of P on p u ∗ is already known for char k =0 (see [A. Joseph, J. Algebra 48 (1977) 241–289]). In this note we prove this result for arbitrary characteristic. Our principal result is that b u ∗ is a prehomogeneous space for a Borel subgroup B of G . From this we deduce that a parabolic subgroup P of G acts on n ∗ with a dense orbit for any P -submodule n of P . Further, we determine when the orbit map for such an orbit is separable." @default.
- W2144800320 created "2016-06-24" @default.
- W2144800320 creator A5014871522 @default.
- W2144800320 date "2004-09-01" @default.
- W2144800320 modified "2023-09-29" @default.
- W2144800320 title "Prehomogeneous spaces for the coadjoint action of a parabolic group" @default.
- W2144800320 cites W1515679419 @default.
- W2144800320 cites W1607402086 @default.
- W2144800320 cites W1966289781 @default.
- W2144800320 cites W2013185126 @default.
- W2144800320 cites W2014537434 @default.
- W2144800320 cites W2017669424 @default.
- W2144800320 cites W2038794917 @default.
- W2144800320 cites W2057627743 @default.
- W2144800320 cites W2061552612 @default.
- W2144800320 cites W2911959771 @default.
- W2144800320 doi "https://doi.org/10.1016/j.jalgebra.2004.01.007" @default.
- W2144800320 hasPublicationYear "2004" @default.
- W2144800320 type Work @default.
- W2144800320 sameAs 2144800320 @default.
- W2144800320 citedByCount "3" @default.
- W2144800320 crossrefType "journal-article" @default.
- W2144800320 hasAuthorship W2144800320A5014871522 @default.
- W2144800320 hasBestOaLocation W21448003201 @default.
- W2144800320 hasConcept C127413603 @default.
- W2144800320 hasConcept C128622974 @default.
- W2144800320 hasConcept C13336665 @default.
- W2144800320 hasConcept C134306372 @default.
- W2144800320 hasConcept C136119220 @default.
- W2144800320 hasConcept C13888372 @default.
- W2144800320 hasConcept C138885662 @default.
- W2144800320 hasConcept C146978453 @default.
- W2144800320 hasConcept C172331165 @default.
- W2144800320 hasConcept C178790620 @default.
- W2144800320 hasConcept C179415260 @default.
- W2144800320 hasConcept C185592680 @default.
- W2144800320 hasConcept C187173678 @default.
- W2144800320 hasConcept C196644772 @default.
- W2144800320 hasConcept C202444582 @default.
- W2144800320 hasConcept C203701370 @default.
- W2144800320 hasConcept C205633959 @default.
- W2144800320 hasConcept C2776756444 @default.
- W2144800320 hasConcept C2778572836 @default.
- W2144800320 hasConcept C2781311116 @default.
- W2144800320 hasConcept C33923547 @default.
- W2144800320 hasConcept C41895202 @default.
- W2144800320 hasConcept C51568863 @default.
- W2144800320 hasConcept C70710897 @default.
- W2144800320 hasConcept C81651864 @default.
- W2144800320 hasConcept C9376300 @default.
- W2144800320 hasConceptScore W2144800320C127413603 @default.
- W2144800320 hasConceptScore W2144800320C128622974 @default.
- W2144800320 hasConceptScore W2144800320C13336665 @default.
- W2144800320 hasConceptScore W2144800320C134306372 @default.
- W2144800320 hasConceptScore W2144800320C136119220 @default.
- W2144800320 hasConceptScore W2144800320C13888372 @default.
- W2144800320 hasConceptScore W2144800320C138885662 @default.
- W2144800320 hasConceptScore W2144800320C146978453 @default.
- W2144800320 hasConceptScore W2144800320C172331165 @default.
- W2144800320 hasConceptScore W2144800320C178790620 @default.
- W2144800320 hasConceptScore W2144800320C179415260 @default.
- W2144800320 hasConceptScore W2144800320C185592680 @default.
- W2144800320 hasConceptScore W2144800320C187173678 @default.
- W2144800320 hasConceptScore W2144800320C196644772 @default.
- W2144800320 hasConceptScore W2144800320C202444582 @default.
- W2144800320 hasConceptScore W2144800320C203701370 @default.
- W2144800320 hasConceptScore W2144800320C205633959 @default.
- W2144800320 hasConceptScore W2144800320C2776756444 @default.
- W2144800320 hasConceptScore W2144800320C2778572836 @default.
- W2144800320 hasConceptScore W2144800320C2781311116 @default.
- W2144800320 hasConceptScore W2144800320C33923547 @default.
- W2144800320 hasConceptScore W2144800320C41895202 @default.
- W2144800320 hasConceptScore W2144800320C51568863 @default.
- W2144800320 hasConceptScore W2144800320C70710897 @default.
- W2144800320 hasConceptScore W2144800320C81651864 @default.
- W2144800320 hasConceptScore W2144800320C9376300 @default.
- W2144800320 hasIssue "2" @default.
- W2144800320 hasLocation W21448003201 @default.
- W2144800320 hasOpenAccess W2144800320 @default.
- W2144800320 hasPrimaryLocation W21448003201 @default.
- W2144800320 hasRelatedWork W1978656206 @default.
- W2144800320 hasRelatedWork W1978665997 @default.
- W2144800320 hasRelatedWork W1995146981 @default.
- W2144800320 hasRelatedWork W2044189975 @default.
- W2144800320 hasRelatedWork W2076832446 @default.
- W2144800320 hasRelatedWork W2137348712 @default.
- W2144800320 hasRelatedWork W2144800320 @default.
- W2144800320 hasRelatedWork W2153186714 @default.
- W2144800320 hasRelatedWork W30875664 @default.
- W2144800320 hasRelatedWork W4242907306 @default.
- W2144800320 hasVolume "279" @default.
- W2144800320 isParatext "false" @default.
- W2144800320 isRetracted "false" @default.
- W2144800320 magId "2144800320" @default.
- W2144800320 workType "article" @default.