Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

被引：65
作者：
Alesker, S [1 ]
机构：
[1] Tel Aviv Univ, Dept Math, IL-69978 Tel Aviv, Israel
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2003年 / 127卷 / 01期
关键词：
quaternions; non-commutative determinants; plurisubharmonic functions;
D O I：
10.1016/S0007-4497(02)00004-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We remind known and establish new properties of the Dieudonne and Moore determinants of quaternionic matrices. Using these linear algebraic results we develop a basic theory of plurisubharmonic functions of quaternionic variables. (C) 2002 Editions scientifiques et medicales Elsevier SAS. All rights reserved.
引用
收藏
页码：1 / 35
页数：35
相关论文
共 47 条
[41]  
Quillen D, 1998, Q J MATH, V49, P163
[42]  
Rauch J, 1977, ROCKY MOUNTAIN J MAT, V7, P345, DOI 10.1216/RMJ-1977-7-2-345
[43]  
Rosenberg J., 1994, GRADUATE TEXTS MATH, V147
[44]   QUATERNIONIC ANALYSIS [J].
SUDBERY, A .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1979, 85 (MAR) :199-225
[45]  
VANPRAAG P, 1989, HELV PHYS ACTA, V62, P42
[46]   REDUCED FORM OF THE DIEUDONNE DETERMINANT OF QUATERNION MATRICES [J].
VANPRAAG, P .
JOURNAL OF ALGEBRA, 1991, 136 (02) :265-274
[47]  
陈龙玄, 1991, Acta Mathematica Sinica. New Series, V7, P171
12345