EXISTENCE OF AN INVARIANT FORM UNDER A LINEAR MAP

被引：1

作者：

Gongopadhyay, Krishnendu ^{[1
]}

Mazumder, Sudip ^{[2
]}

机构：

[1] Indian Inst Sci Educ & Res IISER Mohali, Sect 81, Sas Nagar 140306, Punjab, India

[2] Jadavpur Univ, Dept Math, Kolkata 700032, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2017年 / 48卷 / 02期

关键词：

Linear map; Hermitian form; isometry;

D O I：

10.1007/s13226-017-0222-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a field of characteristic different from 2 and V be a vector space over F. Let J : alpha -> alpha(J) be a fixed involutory automorphism on F. In this paper we answer the following question: given an invertible linear map T : V -> V, when does the vector space V admit a T-invariant non-degenerate J-hermitian, resp. J-skew-hermitian, form?

引用

页码：211 / 220

页数：10

共 8 条

[1] On the existence of an invariant non-degenerate bilinear form under a linear map [J].