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The double origin of the symplectic group. (La double origine du groupe symplectique.) (French) Zbl 1156.01313
Summary: The goal of this paper is the description of the mathematical contexts which allowed the emergence of one of the so called classical groups, namely the symplectic group, by which the word ‘symplectic’ appeared in mathematics. We show that it has a double origin, one in the line complexes of the projective geometry and the other one, in some questions about transformations of abelian integrals.
MSC:
01A55 History of mathematics in the 19th century
01A60 History of mathematics in the 20th century
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