Produits Gamma et vecteurs propres de matrices de Cartan
V. Cohen-Aptel, V.Schechtman
TL;DR
This paper introduces a formula that expresses Perron-Frobenius eigenvectors of Cartan matrices using products of Gamma function values, linking algebraic structures with special functions.
Contribution
It provides a novel explicit formula connecting eigenvectors of Cartan matrices to Gamma function products, advancing understanding in algebraic and representation theory.
Findings
Derived a formula for Perron-Frobenius eigenvectors using Gamma functions
Established connections between algebraic structures and special functions
Enhanced computational methods for Cartan matrix eigenvectors
Abstract
We propose a formula expressing Perron - Frobenius eigenvectors of Cartan matrices in terms of products of values of the Gamma function.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Mathematics and Applications · Ophthalmology and Eye Disorders