典型文献
AFFINE SPINOR DECOMPOSITION IN THREE-DIMENSIONAL AFFINE GEOMETRY
文献摘要：
Spin group and screw algebra,as extensions of quaternions and vector algebra,respectively,have important applications in geometry,physics and engineering.In three-dimensional projective geometry,when acting on lines,each projective transformation can be decomposed into at most three harmonic projective reflections with respect to projective lines,or equivalently,each projective spinor can be decomposed into at most three orthogonal Minkowski bispinors,each inducing a harmonic projective line reflection.In this paper,we establish the corresponding result for three-dimensional affine geometry:with each affine transformation is found a minimal decomposition into general affine reflections,where the number of general affine reflections is at most three;equivalently,each affine spinor can be decomposed into at most three affine Minkowski bispinors,each inducing a general affine line reflection.
文献关键词：
中图分类号：
作者姓名：
Chengran WU;Hongbo LI
作者机构：
Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China;Academy of Mathematics and Systems Science,University of Chinese Academy of Sciences,Chinese Academy of Sciences,Beijing 100190,China
文献出处：
引用格式：
[1]Chengran WU;Hongbo LI-.AFFINE SPINOR DECOMPOSITION IN THREE-DIMENSIONAL AFFINE GEOMETRY)[J].数学物理学报（英文版）,2022(06):2301-2335
A类：
AFFINE,SPINOR,DECOMPOSITION,THREE,DIMENSIONAL,GEOMETRY,quaternions,bispinors
B类：
Spin,group,screw,algebra,as,extensions,vector,respectively,have,important,applications,geometry,physics,engineering,In,three,dimensional,projective,when,acting,lines,each,transformation,can,decomposed,into,most,harmonic,reflections,equivalently,orthogonal,Minkowski,inducing,this,paper,we,establish,corresponding,result,affine,found,minimal,decomposition,general,where,number
AB值：
0.328772
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