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The Lie algebra of a Lie algebroid

Tom 54 / 2001

Janusz Grabowski, Katarzyna Grabowska Banach Center Publications 54 (2001), 43-50 MSC: Primary 17B60, 17B66; Secondary 53C15. DOI: 10.4064/bc54-0-4

Streszczenie

We present results describing Lie ideals and maximal finite-codimensional Lie subalgebras of the Lie algebras associated with Lie algebroids with non-singular anchor maps. We also prove that every isomorphism of such Lie algebras induces a diffeomorphism of base manifolds respecting the generalized foliations defined by the anchor maps.

Autorzy

  • Janusz GrabowskiInstitute of Mathematics
    University of Warsaw
    Banacha 2
    02-097 Warszawa, Poland
    and
    Mathematical Institute
    Polish Academy of Sciences
    Śniadeckich 8
    P.O. Box 137
    00-950 Warszawa, Poland
    e-mail
  • Katarzyna GrabowskaDivision of Mathematical Methods in Physics
    University of Warsaw
    Hoża 74
    00-682 Warszawa, Poland
    e-mail

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