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Cohomology and symmetry of differential equations

  • III. Symmetries of Equations and Fields 2717 1727 V 2
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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 382))

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Abstract

Some concepts of cohomology of Lie groups are used in the analysis of differential equations invariant under a Lie group G

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References

  1. P.J. Olver, Springer, Berlin, “Applications of Lie groups to Differential Equations,” 1986.

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  2. G. Rideau and P. Winternitz, J. Math. Phys. 31 (1990), p. 1095.

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  3. C. Chevalley an S. Eilenberg, Trans. Amer. Math. Soc. 63 (1948), p. 85.

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  4. J.F. Cariñena and L.A. Ibort, J. Math. Phys. 29 (1988), p. 541.

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  5. D.J. Saunders, “The Geometry of Jet bundles,” London Math. Soc. Lect. Notes Series 142, Cambridge Univ. Press, 1989.

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  6. J.F. Cariñena and M. Santander, Dimensional Analysis, In Advances in Electronics and Electron Physics, 72, 181 (1988), Academic Press.

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Author information

Authors and Affiliations

  1. Departamento de Física Teórica, Universidad de Zaragoza, 50009, Zaragoza, Spain

    J. F. Cariñena

  2. Departamento de Fisica Teorica, Universidad de Valladolid, 47011, Valladolid, Spain

    M. A. del Olmo

  3. Centre de Recherches Mathematiques, Université de Montreal, C.P.6128-A, H3C 3J7, Montreal (QC), Canada

    P. Winternitz

Authors
  1. J. F. Cariñena
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  2. M. A. del Olmo
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  3. P. Winternitz
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Editor information

Victor V. Dodonov Vladimir I. Man'ko

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© 1991 Springer-Verlag

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Cariñena, J.F., del Olmo, M.A., Winternitz, P. (1991). Cohomology and symmetry of differential equations. In: Dodonov, V.V., Man'ko, V.I. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54040-7_118

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  • DOI: https://doi.org/10.1007/3-540-54040-7_118

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54040-3

  • Online ISBN: 978-3-540-47363-3

  • eBook Packages: Springer Book Archive

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