Article ID: CBB746243101

Felix Klein’s projective representations of the groups S6 and A7 (2022)

unapi

This paper addresses an article by Felix Klein of 1886, in which he generalized his theory of polynomial equations of degree 5—comprehensively discussed in his Lectures on the Icosahedron two years earlier—to equations of degree 6 and 7. To do so, Klein used results previously established in line geometry. I review Klein’s 1886 article, its diverse mathematical background, and its place within the broader history of mathematics. I argue that the program advanced by this article, although historically overlooked due to its eventual failure, offers a valuable insight into a time of crucial evolution of the subject.

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Authors & Contributors
Schubring, Gert
L. D. Kay
Ausejo Lifante, Elena
Elif Baga
Pulkkinen, Karoliina
Giannini, Giulia
Concepts
Mathematics
Equations and formulae
Geometry
Group theory
Societies; institutions; academies
Methodology
Time Periods
19th century
20th century, early
20th century
18th century
17th century
15th century
Places
Prussia (Germany)
Russia
Japan
Germany
Europe
China
Institutions
Universität Göttingen
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