Matches in SemOpenAlex for { <https://semopenalex.org/work/W2061552612> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2061552612 endingPage "211" @default.
- W2061552612 startingPage "191" @default.
- W2061552612 abstract "The purpose of this paper is to describe a new class of Poisson and symplectic structures on Lie algebras. This gives a new class of solutions of the classical Yang-Baxter equation. The class of elementary Lie algebras is defined and the Poisson and symplectic structures for them are described. The algorithm is given for description of all closed 2-forms and of symplectic structures on any Lie algebra G, which is decomposed into semidirect sum of elementary subalgebras. Using these results we obtain the description of closed 2-forms and symplectic forms (if they exist) on the Borel subalgebra B(G) of semisimple Lie algebra G. As a byproduct, we get description of the second cohomology group H2(B(G))." @default.
- W2061552612 created "2016-06-24" @default.
- W2061552612 creator A5045190861 @default.
- W2061552612 creator A5079852881 @default.
- W2061552612 date "1997-06-01" @default.
- W2061552612 modified "2023-09-28" @default.
- W2061552612 title "Poisson and symplectic structures on Lie algebras. I" @default.
- W2061552612 cites W2992916319 @default.
- W2061552612 doi "https://doi.org/10.1016/s0393-0440(96)00025-3" @default.
- W2061552612 hasPublicationYear "1997" @default.
- W2061552612 type Work @default.
- W2061552612 sameAs 2061552612 @default.
- W2061552612 citedByCount "12" @default.
- W2061552612 countsByYear W20615526122012 @default.
- W2061552612 countsByYear W20615526122015 @default.
- W2061552612 countsByYear W20615526122017 @default.
- W2061552612 countsByYear W20615526122018 @default.
- W2061552612 countsByYear W20615526122021 @default.
- W2061552612 countsByYear W20615526122022 @default.
- W2061552612 crossrefType "journal-article" @default.
- W2061552612 hasAuthorship W2061552612A5045190861 @default.
- W2061552612 hasAuthorship W2061552612A5079852881 @default.
- W2061552612 hasConcept C104586451 @default.
- W2061552612 hasConcept C135661100 @default.
- W2061552612 hasConcept C136119220 @default.
- W2061552612 hasConcept C144091092 @default.
- W2061552612 hasConcept C168619227 @default.
- W2061552612 hasConcept C175322374 @default.
- W2061552612 hasConcept C188845816 @default.
- W2061552612 hasConcept C202444582 @default.
- W2061552612 hasConcept C203946495 @default.
- W2061552612 hasConcept C33923547 @default.
- W2061552612 hasConcept C40265840 @default.
- W2061552612 hasConcept C4161247 @default.
- W2061552612 hasConcept C51568863 @default.
- W2061552612 hasConcept C5475112 @default.
- W2061552612 hasConcept C67996461 @default.
- W2061552612 hasConcept C73648015 @default.
- W2061552612 hasConcept C78606066 @default.
- W2061552612 hasConcept C81999800 @default.
- W2061552612 hasConceptScore W2061552612C104586451 @default.
- W2061552612 hasConceptScore W2061552612C135661100 @default.
- W2061552612 hasConceptScore W2061552612C136119220 @default.
- W2061552612 hasConceptScore W2061552612C144091092 @default.
- W2061552612 hasConceptScore W2061552612C168619227 @default.
- W2061552612 hasConceptScore W2061552612C175322374 @default.
- W2061552612 hasConceptScore W2061552612C188845816 @default.
- W2061552612 hasConceptScore W2061552612C202444582 @default.
- W2061552612 hasConceptScore W2061552612C203946495 @default.
- W2061552612 hasConceptScore W2061552612C33923547 @default.
- W2061552612 hasConceptScore W2061552612C40265840 @default.
- W2061552612 hasConceptScore W2061552612C4161247 @default.
- W2061552612 hasConceptScore W2061552612C51568863 @default.
- W2061552612 hasConceptScore W2061552612C5475112 @default.
- W2061552612 hasConceptScore W2061552612C67996461 @default.
- W2061552612 hasConceptScore W2061552612C73648015 @default.
- W2061552612 hasConceptScore W2061552612C78606066 @default.
- W2061552612 hasConceptScore W2061552612C81999800 @default.
- W2061552612 hasIssue "3" @default.
- W2061552612 hasLocation W20615526121 @default.
- W2061552612 hasOpenAccess W2061552612 @default.
- W2061552612 hasPrimaryLocation W20615526121 @default.
- W2061552612 hasRelatedWork W101992021 @default.
- W2061552612 hasRelatedWork W116475609 @default.
- W2061552612 hasRelatedWork W148047173 @default.
- W2061552612 hasRelatedWork W2012485591 @default.
- W2061552612 hasRelatedWork W2061552612 @default.
- W2061552612 hasRelatedWork W2084459427 @default.
- W2061552612 hasRelatedWork W2593073815 @default.
- W2061552612 hasRelatedWork W2914669391 @default.
- W2061552612 hasRelatedWork W2924873263 @default.
- W2061552612 hasRelatedWork W4301694287 @default.
- W2061552612 hasVolume "22" @default.
- W2061552612 isParatext "false" @default.
- W2061552612 isRetracted "false" @default.
- W2061552612 magId "2061552612" @default.
- W2061552612 workType "article" @default.