标题： 二维庞加莱代数的一个三角形形变 显示英文标题

标题： A Triangular Deformation of the two Dimensional Poincare Algebra

摘要： 通过收缩$h$- 变形的$\SL(2,\Real)$，我们构造了二维庞加莱代数的新变形、其群函数代数及其微分结构。 还证明了该 Hopf 代数是三角的，并显式地构造了其普适 R 矩阵。 然后，我们找到了普适包络代数的变形映射，并在最后给出了变形的质量壳和洛伦兹变换。 显示英文摘要

摘要： Contracting the $h$-deformation of $\SL(2,\Real)$, we construct a new deformation of two dimensional Poincar\'e algebra, the algebra of functions on its group and its differential structure. It is also shown that the Hopf algebra is triangular, and its universal R matrix is also constructed explicitly. Then, we find a deformation map for the universal enveloping algebra, and at the end, give the deformed mass shells and Lorentz transformation.