A propos d une nouvelle interpr\'etation du Caput variationis de Leibniz
Godofredo Iommi Amunategui
TL;DR
This paper offers a novel interpretation of Leibniz's caput variationis by linking it to the concept of induced characters in group theory, providing a new mathematical perspective on Leibniz's work.
Contribution
It introduces a new interpretation of the caput variationis using induced characters, bridging Leibniz's combinatorial ideas with modern group theory.
Findings
New interpretation of caput variationis based on induced characters
Connects Leibniz's combinatorial concepts with Frobenius's group theory
Provides a modern mathematical perspective on Leibniz's work
Abstract
The concept of caput variationis plays a fundamental role in Leibniz s Dissertatio de Arte Combinatoria, published in 1666. Hereafter we propose an interpretation of the caput based on the notion of induced character of a group introduced par Georg Frobenius in 1900.
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Taxonomy
TopicsHistory and Theory of Mathematics · Mathematics and Applications · Homotopy and Cohomology in Algebraic Topology