一类八元数解析函数构成的域A Field Constituted by a Class of Octonionic Analytic Functions
邓德炮;廖建全;
摘要(Abstract):
证明了一类八元数解析函数成为一个域,并给出了由复解析函数得到这类函数的构造方法。
关键词(KeyWords): 八元数;八元数解析函数;域
基金项目(Foundation):
作者(Authors): 邓德炮;廖建全;
DOI: 10.16778/j.cnki.1671-5934.2011.06.004
参考文献(References):
- [1]BAEZ J C.The octonions[J].Bull Amer Math Soc,2002(39):145–205.
- [2]BAEZ J C.On quaternions and octonions:Theirgeometry,arithmetic,and symmetry[J].Bull Amer Math Soc,2005(42):229–243.
- [3]JACOBSON N.Basic Algebra[M].Second Edition.New York:W H Freeman and Company,1985.
- [4]LI X M.Octonion analysis[D],Peking:Peking University,1998.
- [5]LI X M,PENG L Z.Taylor series and orthogonality ofthe octonion analyticfunctions[J].ActaMath Sci,2001(21B),323–330.
- [6]LI X M,PENG L Z.The Cauchy integral formulas on the octonions[J].Bull Belg Math Soc Simon Stevin,2002(9):47–64.
- [7]LI X M,ZHAO K,PENG L Z.The Laurent series on the octonions[J].Adv Appl Clifford Alg,2001(11S2):205–217.
- [8]LIAO J Q,LI X M.The Necessary and Sufficient Condition for[D,φ(x),λ]=0[J].Acta Math Sin,2009(6A):1085–1090.
- [9]张禾瑞.近世代数基础[M].北京:高等教育出版社,1978.