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Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((MATHE3,volume 47))

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Abstract

In this chapter we fix our conventions and terminology and we provide a quick review of the notions in differential geometry and in Lie theory that will be used. Since algebraic geometry, mainly the geometry of Abelian varieties, will only show up later and since we will need to do in that case a little more than just a review, we defer that subject to Part II of the book.

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© 2004 Springer-Verlag Berlin Heidelberg

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Adler, M., Moerbeke, P.v., Vanhaecke, P. (2004). Lie Algebras. In: Algebraic Integrability, Painlevé Geometry and Lie Algebras. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05650-9_2

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  • DOI: https://doi.org/10.1007/978-3-662-05650-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-06128-8

  • Online ISBN: 978-3-662-05650-9

  • eBook Packages: Springer Book Archive

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