Continuous Jordan triple endomorphisms of GL2(C)

被引：1

作者：

Ghasempouri, S. E. ^{[1
]}

KhaliliAsboei, A. ^{[2
]}

SalehiAmiri, S. S. ^{[3
]}

机构：

[1] Univ New Brunswick, Dept Chem, Fredericton, NB, Canada

[2] Farhangian Univ, Dept Math, Tehran, Iran

[3] Isalam Azad Univ, Dept Math, Babol Branch, Babol, Iran

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年 / 55卷 / 02期

关键词：

General linear group; Isometry; Jordan triple product map; ISOMETRIES; PRODUCTS; MAPS;

D O I：

10.1007/s13226-023-00395-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let GL(n)(C) be the complex general linear group of degree n. In this paper, we present the general form of all continuous endomorphisms of GL(2)(C) with respect to the Jordan triple product. These are the continuous maps ? : GL(2)(C) ? GL(2)(C) which satisfy?(ABA) = ?(A)?(B)?(A), A, B ? GL(2)(C).As a result, we present the general form of all continuous homomorphisms and automorphisms of GL(2)(C).

引用

页码：691 / 708

页数：18

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