The Clifford algebra in the theory of algebras, quadratic forms, and classical groups

被引：0
作者：
Hahn, A [1 ]
机构：
[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
来源：
CLIFFORD ALGEBRAS: APPLICATIONS TO MATHEMATICS, PHYSICS, AND ENGINEERING | 2004年 / 34卷
关键词：
Clifford algebra; quadratic form; classical group; involutions; Clifford modules;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is an expanded version of my plenary lecture for the conference. It was the aim of the lecture to introduce the participants of the conference-their diverse realms of expertise ranged from theoretical physics, to computer science, to pure mathematics-to the algebraic matters of the title above. The basic texts listed in the references-note that this listing is by no means complete-serve as illustration of the rich and persistent interest in these topics and provide a reader with an opportunity to explore them in detail.
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页码：305 / 322
页数：18
相关论文
共 22 条
[1]  
[Anonymous], 1989, CLASSICAL GROUPS K T
[2]  
Artin E., 1957, GEOMETRIC ALGEBRA
[3]  
Cassels J. W. S., 1978, RATIONAL QUADRATIC F
[4]  
Chevalley C.C., 1954, ALGEBRAIC THEORY SPI
[5]  
Conway J. H., 1997, CARUS MATH MONOGRAPH, V26
[6]  
DIEUDONNE J, 1955, GEOMETRIE GROUPES CL
[7]  
Eichler M., 1952, GRUNDLEHREN MATH WIS, V63
[8]  
Hahn A.J., 1994, Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups
[9]  
JONES BW, 1950, ARITHMETIC THEORY QU
[10]  
Kitaoka Y., 1993, Arithmetic of quadratic forms
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