Rings of continuous functions, symmetric products, and Frobenius algebras
Rings and Algebras
2015-06-26 v1
Abstract
Properties of higher characters are developed and applied to symmetric products and Frobenius algebras. A `constructive' proof of the Gel'fand-Kolmogorov theorem is given. Generalisations of that theorem and the Nullstellensatz to symmetric products are discussed.Applications to the theory of multi-symmetric functions are also discussed. It is proved that the first three characters determine the Jordan algebra associated to a Frobenius algebra and as a corollary one obtains the theorem of Hoehnke and Johnson that a finite group is determined by the first three characters of its regular representation.
Keywords
Cite
@article{arxiv.math/0403357,
title = {Rings of continuous functions, symmetric products, and Frobenius algebras},
author = {V. M. Buchstaber and E. G. Rees},
journal= {arXiv preprint arXiv:math/0403357},
year = {2015}
}
Comments
To appear in Russian Math Surveys