Integrability obstructions for extensions of Lie algebroids

Kirill Mackenzie

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1987)

  • Volume: 28, Issue: 1, page 29-52
  • ISSN: 1245-530X

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Mackenzie, Kirill. "Integrability obstructions for extensions of Lie algebroids." Cahiers de Topologie et Géométrie Différentielle Catégoriques 28.1 (1987): 29-52. <http://eudml.org/doc/91389>.

@article{Mackenzie1987,
author = {Mackenzie, Kirill},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {integrability of an extension of transitive Lie algebroids; Lie algebra bundle},
language = {eng},
number = {1},
pages = {29-52},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Integrability obstructions for extensions of Lie algebroids},
url = {http://eudml.org/doc/91389},
volume = {28},
year = {1987},
}

TY - JOUR
AU - Mackenzie, Kirill
TI - Integrability obstructions for extensions of Lie algebroids
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1987
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 28
IS - 1
SP - 29
EP - 52
LA - eng
KW - integrability of an extension of transitive Lie algebroids; Lie algebra bundle
UR - http://eudml.org/doc/91389
ER -

References

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  1. 1, R. Almeida & A. KumperaStructure produit dans la catégorie des algébroides de Lie, An, Acad, Brasil, Cienc, 53 (1981), 247-250, Zbl0484.58033MR637370
  2. 2, R. Almeida & P. Molino, Suites d'Atiyah, feuilletages et quantification géométrique, Sem, Geom, Diff, Montpellier (1984-85), 39-59, Zbl0596.57017
  3. 3, N. Bourbaki, Lie groups and Lie algebras, Part I, Chapters 1-3, Addison-Wesley, Reading, Mass, 1975, Zbl0319.17002
  4. 4, R. Brown, Groupoids as coefficients, Proc, London Math, Soc, (3) 25 (1972), 413-426, Zbl0245.20045MR311744
  5. 5, R. Brown & G. Danesh-Naruie, The fundamental groupoid as a topological groupoid, Proc, Edinburgh Math, Soc, (II) 19 (3) (1975), 237-244. Zbl0297.55001MR413096
  6. 6 J. Dieudonne, Treatise on Analysis, Vol, III, translated by I,G, Macdonald, Academic Press, New York, 1972, Zbl0268.58001MR350769
  7. 7, P.J. Higgins & J. Taylor, The fundamental groupoid and the homotopy crossed complex of an orbit space, Lecture Notes in Math, 962, Springer (1982), 115-122, Zbl0522.57001MR682948
  8. 8, A. Kumjian, On C*-diagonals, Preprint, University of New South Wales, 1984, iii+37 pp, MR854149
  9. 9, K., Mackenzie, Cohomology of locally trivial groupoids and Lie algebroids, Ph,D, Thesis, Monash University, 1979, Zbl0409.17012
  10. 10, K. Mackenzie, Lie groupoids and Lie algebroids in Differential Geometry, London Math, Soc, Lecture Notes Ser, 124, C.U.P. (to appear), Zbl0683.53029MR896907
  11. 11 K. Mackenzie, Classification of principal bundles and Lie groupoids with presribed gauge group bundle, Preprint 36 pp, Zbl0673.55015MR1001474
  12. 12, V.S. Varadarajan, Lie groups, Lie algebras and their representationsPrentice-Hall, New Jersey, 1974, Zbl0371.22001MR376938

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