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Fixed point subalgebras of Weil algebras: from geometric to algebraic questions

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Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 8))

Abstract

The paper is a survey of some results about Weil algebras applicable in differential geometry, especially in some classification questions on bundles of generalized velocities and contact elements. Mainly, a number of claims concerning the form of subalgebras of fixed points of various Weil algebras are demonstrated.

Mathematics Subject Classification (2010) Primary 13H99, 16W20. Secondary 58A32.

Published results were acquired using the subsidization of the GAČR, grant No. 201/09/0981.

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References

  1. Kolář, I., Michor, P.W. and Slovák, J., Natural Operations in Differential Geometry, Springer Verlag 1993

    Google Scholar 

  2. Kureš, M., Local approach to higher order contact elements, Reports on Mathematical Physics, 2006, Vol. 58, No. 2, pp. 393–409

    Google Scholar 

  3. Kureš, M., A note to the unipotency of the identity component of the group of algebra automorphisms, Analele Stiintifice Ale Universitatii Ovidius Constanta 15, 2007, 105–110

    MATH  Google Scholar 

  4. Kureš, M., On the connectedness of jet groups and groups of automorphisms of Weil algebras, Journal of Applied Mathematics, Statistics and Informatics 3, 2007, 209–214

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  5. Kureš, M., Mikulski, W.M., Natural operators lifting vector fields to bundles of Weil contact elements, Czechoslovak Mathematical Journal 54 (129), 2004, 855–867

    MATH  MathSciNet  Google Scholar 

  6. Kureš, M., Mikulski, W.M., Natural operators lifting 1-forms to bundles of Weil contact elements, Bulletin of the Irish Mathematical Society 49, 2002, 23–41

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  7. Kureš, M., Sehnal, D., The order of algebras with nontrivial fixed point subalgebras, Lobachevskii Journal of Mathematics 25, 2007, 187–198

    MATH  MathSciNet  Google Scholar 

  8. Saorín, M., Gradability of algebras, in: Abrams, J. et al: Methods in Module Theory, Colorado Springs, 1991, Marcel Dekker 1992

    Google Scholar 

  9. Weil, A., Théorie des points proches sur les variétés dfférentiables, Colloque de Géometrie Différentielle, C.N.R.S., 1953, 111–117

    Google Scholar 

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Correspondence to Miroslav Kureš .

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Kureš, M. (2011). Fixed point subalgebras of Weil algebras: from geometric to algebraic questions. In: Ebeling, W., Hulek, K., Smoczyk, K. (eds) Complex and Differential Geometry. Springer Proceedings in Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20300-8_11

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