Developement of the Theory of Lie Groups in Bologna (1884–1900)

Enrico Rogora ()
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Enrico Rogora: Università di Roma, Dipartimento di Matematica, Sapienza

A chapter in Mathematicians in Bologna 1861–1960, 2012, pp 415-426 from Springer

Abstract: Abstract At the end of the nineteenth century some italian mathematicians got deeply interested in Lie’s theory of transformations groups. The aim of this paper is to discuss an episode of this story which happened in Bologna. It is about the fruitful interactions between Tullio Levi-Civita, Salvatore Pincherle and Federigo Enriques, which finally led to the classification of infinite dimensional Lie groups acting on three dimensional space by Ugo Amaldi.

Keywords: Transformation Group; Symmetry Algebra; Continuous Group; Point Transformation; Order Ordinary Differential Equation (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0227-7_17

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DOI: 10.1007/978-3-0348-0227-7_17

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