期刊文献+

关于Clifford代数中多项式解的一个结果

A result about Clifford algebra
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摘要 利用代数基本定理,证明以Clifford代数所基于的结合代数的一子空间作系数空间,一类特殊的多项式方程在该子空间中至少存在一个根. By using the fundamental theorem of algebra, it is proved that there exists at least one root for a special class of polynomial equation with coefficients in a subspace of the associative algebra which is the base associative algebra of Clifford algebra.
出处 《扬州大学学报(自然科学版)》 CAS CSCD 2007年第4期9-12,共4页 Journal of Yangzhou University:Natural Science Edition
基金 国家自然科学基金资助项目(10671171) 江苏省自然科学基金资助项目(BK2007073)
关键词 CLIFFORD代数 结合代数 p-向量 Clifford algebra associative algebra p-vector
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参考文献8

  • 1BAEZ J C. The oetonions [J]. Bull Amer Math Soc, 2002, 397:145-205.
  • 2HESTENES D, SOBCZYK G. Clifford algebra to geometric calculus, a unified language for mathematics and physics [M]. Dordrecht, Holland: Reidel Publishing Company, 1984.
  • 3AHLFORS L V, LOUNESTO P. Some remarks on Clifford algebras[J]. Complex Variables, 1989, 12:201- 209.
  • 4AHLFORS L V. Mobius transformations in R^n expressed through 2 × 2 matrices of Clifford numbers [J]. Complex Variables, 1986, 5:215-224.
  • 5AHLFORS L V. MObius transformations and Clifford numbers[M]. New York: Differential Geometry and Springer-Verlag, 1985.
  • 6AHLFORS L V. On the fixed points of Mobius transformations in R^n[J]. Ann Acad Sci Fenn : Series A I Math, 1985, 10:15-27.
  • 7AHLFORS L V. Old and new in Mobius groups [J]. Ann Acad Sci Fenn: Series A I Math, 1984, 9: 93-105.
  • 8FERNANDEZ V V, MOYA A M, RODRIGUES W A, Jr. Euclidean Clifford algebra [OL]. (2002-12-18) [2007-07-09-]. http://on, arxiv, org/abs/math-ph/0212043.

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