Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 006, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.006 (Mi sigma683) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Lie algebroids and Poisson algebras

Dennise García-Beltrána, José A. Vallejoa, Yuriĭ Vorobjevb

a Facultad de Ciencias, Universidad Autónoma de San Luis Potosí
b Departamento de Matemáticas, Universidad de Sonora, México
Full-text PDF (375 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2012.006
Abstract: We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classification of transitive Lie algebroids and describe Poisson algebras by using the notions of algebroid and Lie connections.
Keywords: transitive Lie algebroids, Lie–Rinehart algebras, Poisson brackets, algebraic connections.
Received: June 8, 2011; in final form February 1, 2012; Published online February 10, 2012
Bibliographic databases:
Document Type: Article
MSC: 53D17, 17B63
Language: English
Citation: Dennise García-Beltrán, José A. Vallejo, Yuriǐ Vorobjev, “On Lie algebroids and Poisson algebras”, SIGMA, 8 (2012), 006, 14 pp.
Citation in format AMSBIB
\Bibitem{GarValVor12}
\by Dennise Garc{\'\i}a-Beltr\'an, Jos\'e A. Vallejo, Yuri{\v\i} Vorobjev
\paper On Lie algebroids and Poisson algebras
\jour SIGMA
\yr 2012
\vol 8
\papernumber 006
\totalpages 14
\mathnet{http://mi.mathnet.ru/sigma683}
\crossref{https://doi.org/10.3842/SIGMA.2012.006}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2892329}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000301230000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857082160}
Linking options:
  • https://www.mathnet.ru/eng/sigma683
  • https://www.mathnet.ru/eng/sigma/v8/p6
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025