Study-type determinants and their properties
Representation Theory
2023-03-03 v5
Abstract
In this paper, we define the concept of the Study-type determinant, and we present some properties of these determinants. These properties lead to some properties of the Study determinant. The properties of the Study-type determinants are obtained using a commutative diagram. This diagram leads not only to these properties, but also to an inequality for the degrees of representations and to an extension of Dedekind's theorem.
Keywords
Cite
@article{arxiv.1805.06152,
title = {Study-type determinants and their properties},
author = {Naoya Yamaguchi},
journal= {arXiv preprint arXiv:1805.06152},
year = {2023}
}