Fricke identities, Frobenius $k$-characters and Markov equation
Representation Theory
2019-12-19 v1 Group Theory
Abstract
In 1896 Frobenius and Fricke had published two seemingly unrelated papers: Frobenius had started to develop his theory of -characters for finite groups motivated by Dedekind's question about factorisation of the group determinant, while Fricke followed Klein's approach to the uniformization theorem. We show that in fact these two works can be naturally linked and both are related to remarkable Markov's paper of 1880 on arithmetic of binary quadratic forms.
Keywords
Cite
@article{arxiv.1912.08705,
title = {Fricke identities, Frobenius $k$-characters and Markov equation},
author = {V. M. Buchstaber and A. P. Veselov},
journal= {arXiv preprint arXiv:1912.08705},
year = {2019}
}
Comments
11 pages, contribution to Boris Dubrovin memorial volume