Study-type determinants and their properties

被引：2
|
作者：
Yamaguchi, Naoya [1 ]
机构：
[1] Nagasaki Univ, Off Estab Informat Related Sch, 1-14 Bunkyo, Nagasaki 8528521, Japan
来源：
COGENT MATHEMATICS & STATISTICS | 2019年 / 6卷
基金：
日本学术振兴会;
关键词：
noncommutative determinant; study determinant; group determinant; INVERTIBILITY PRESERVING-MAPS; MATRICES; ELEMENTS;
D O I：
10.1080/25742558.2019.1683131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：20
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