Clifford代数与时空平面的Lorentz变换

Clifford Algebra and Lorentz Transformation of Spacetime Plane

文中利用Clifford代数的双曲虚单位表述时空平面,给出时空平面cl+1,1上向量的双曲函数式,用于表述旋量群Spin(1,1)及其子群Spin+(1,1),进而导出时空平面的Lorentz变换.

In this paper, spacetime plane are represented by using hyperbolic imaginary unit of Clifford algebra, hy- perbolic functional formula of vector on spacetime plane Cl~,lare proposed, and spinor group Spin（ 1,1 ） and its subgroup Spin ＋ （ 1,1 ） are represented also, and then derive Lorentz transformation of spacetime plane.