Matches in SemOpenAlex for { <https://semopenalex.org/work/W2039109916> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2039109916 endingPage "138" @default.
- W2039109916 startingPage "112" @default.
- W2039109916 abstract "This paper investigates left-symmetric structures on finite-dimensional simple Lie algebras g over a field k. If k is of characteristic 0, then g does not admit any left-symmetric structure. This is known in the theory of affine manifolds. In the modular case, however, such structures may exist. The main purpose of this paper is to show that classical simple Lie algebras of characteristic p > 3 admit left-symmetric structures only in case p divides dim(g). The proof involves the computation of the first cohomology groups of classical Lie algebras for certain g-modules of small dimension. Here g is regarded as the Lie algebra of a connected semisimple algebraic group over an algebraically closed field of characteristic p > 0. Most of these computations are due to Jantzen. For nonrestricted simple Lie algebras of Cartan type it is shown that many more left-symmetric structures can be found. One studies so-called adjoint structures, induced by nonsingular derivations of g. The simple algebra L(G, δ, ƒ) of Block of dimension pn − 1, for example, admits adjoint structures for every p > 0. If p = 2, the results are more complicated." @default.
- W2039109916 created "2016-06-24" @default.
- W2039109916 creator A5000253057 @default.
- W2039109916 date "1994-10-01" @default.
- W2039109916 modified "2023-10-18" @default.
- W2039109916 title "Left-Symmetric Structures on Simple Modular Lie Algebras" @default.
- W2039109916 cites W1544626381 @default.
- W2039109916 cites W1574627915 @default.
- W2039109916 cites W1579486099 @default.
- W2039109916 cites W1582350828 @default.
- W2039109916 cites W171418171 @default.
- W2039109916 cites W1968532244 @default.
- W2039109916 cites W2051995647 @default.
- W2039109916 cites W2063101393 @default.
- W2039109916 cites W2066864836 @default.
- W2039109916 cites W2067370016 @default.
- W2039109916 cites W2090050225 @default.
- W2039109916 cites W2118282319 @default.
- W2039109916 cites W2315944763 @default.
- W2039109916 cites W2331479851 @default.
- W2039109916 cites W68902373 @default.
- W2039109916 doi "https://doi.org/10.1006/jabr.1994.1275" @default.
- W2039109916 hasPublicationYear "1994" @default.
- W2039109916 type Work @default.
- W2039109916 sameAs 2039109916 @default.
- W2039109916 citedByCount "22" @default.
- W2039109916 countsByYear W20391099162016 @default.
- W2039109916 countsByYear W20391099162019 @default.
- W2039109916 countsByYear W20391099162021 @default.
- W2039109916 countsByYear W20391099162022 @default.
- W2039109916 countsByYear W20391099162023 @default.
- W2039109916 crossrefType "journal-article" @default.
- W2039109916 hasAuthorship W2039109916A5000253057 @default.
- W2039109916 hasBestOaLocation W20391099161 @default.
- W2039109916 hasConcept C111472728 @default.
- W2039109916 hasConcept C136119220 @default.
- W2039109916 hasConcept C138885662 @default.
- W2039109916 hasConcept C202444582 @default.
- W2039109916 hasConcept C203701370 @default.
- W2039109916 hasConcept C203946495 @default.
- W2039109916 hasConcept C2780586882 @default.
- W2039109916 hasConcept C33676613 @default.
- W2039109916 hasConcept C33923547 @default.
- W2039109916 hasConcept C51568863 @default.
- W2039109916 hasConcept C5475112 @default.
- W2039109916 hasConcept C73648015 @default.
- W2039109916 hasConcept C78606066 @default.
- W2039109916 hasConcept C81999800 @default.
- W2039109916 hasConcept C99634282 @default.
- W2039109916 hasConceptScore W2039109916C111472728 @default.
- W2039109916 hasConceptScore W2039109916C136119220 @default.
- W2039109916 hasConceptScore W2039109916C138885662 @default.
- W2039109916 hasConceptScore W2039109916C202444582 @default.
- W2039109916 hasConceptScore W2039109916C203701370 @default.
- W2039109916 hasConceptScore W2039109916C203946495 @default.
- W2039109916 hasConceptScore W2039109916C2780586882 @default.
- W2039109916 hasConceptScore W2039109916C33676613 @default.
- W2039109916 hasConceptScore W2039109916C33923547 @default.
- W2039109916 hasConceptScore W2039109916C51568863 @default.
- W2039109916 hasConceptScore W2039109916C5475112 @default.
- W2039109916 hasConceptScore W2039109916C73648015 @default.
- W2039109916 hasConceptScore W2039109916C78606066 @default.
- W2039109916 hasConceptScore W2039109916C81999800 @default.
- W2039109916 hasConceptScore W2039109916C99634282 @default.
- W2039109916 hasIssue "1" @default.
- W2039109916 hasLocation W20391099161 @default.
- W2039109916 hasLocation W20391099162 @default.
- W2039109916 hasOpenAccess W2039109916 @default.
- W2039109916 hasPrimaryLocation W20391099161 @default.
- W2039109916 hasRelatedWork W1564376709 @default.
- W2039109916 hasRelatedWork W1997216808 @default.
- W2039109916 hasRelatedWork W2166182660 @default.
- W2039109916 hasRelatedWork W2370342146 @default.
- W2039109916 hasRelatedWork W2377349670 @default.
- W2039109916 hasRelatedWork W3197911765 @default.
- W2039109916 hasRelatedWork W4213400380 @default.
- W2039109916 hasRelatedWork W4250971183 @default.
- W2039109916 hasRelatedWork W4287635743 @default.
- W2039109916 hasRelatedWork W4297778918 @default.
- W2039109916 hasVolume "169" @default.
- W2039109916 isParatext "false" @default.
- W2039109916 isRetracted "false" @default.
- W2039109916 magId "2039109916" @default.
- W2039109916 workType "article" @default.