非交换非结合的多复变  

Non-commutative and Non-associative Several Complex Variables

作　　者：任广斌[1] REN Guang-bin(School of Mathematical Science,University of Scienceand Technology of China,Hefei230026,China)

机构地区：[1]中国科学技术大学数学科学学院,合肥230026

出　　处：《大学数学》2017年第5期1-7,共7页College Mathematics

基　　金：国家自然科学基金(11771412)

摘　　要：多复变在非交换非结合领域的推广近年来取得了迅猛的发展.本文简单介绍这方面的最新进展,其中包括切片Clifford分析、离散Clifford分析、Hermitian Clifford分析、Dunkl Clifford分析、四元数分析、八元数分析,离散复分析在统计物理中Ising模型的应用,以及与切片Clifford分析相关的S-谱理论在量子物理的应用.The theory of several complex variables has made rapid development in the non commutative and non associative realm.The article surveys our recent work in this field,including slice Clifford analysis,discrete Clifford analysis,Hermitian Clifford analysis,Dunkl Clifford analysis,quaternion analysis,octonion analysis,and some applications of S spectral theory in quantum physics,and of discrete complex analysis in statistical physics of the Ising model.

关 键 词：CLIFFORD分析 DIRAC算子 Witt基 四元数 八元数 交错代数 

分 类 号：O174.56[理学—数学]