回转群、为双曲几何服务的类群环和爱因斯坦的狭义相对论
Gyrogroups, the Grouplike Loops in the Service of Hyperbolic Geometry and Einstein's Special Theory of Relativity
摘要：
在这个对回路理论越来越感兴趣的时代，爱因斯坦速度相加定律有了新的共鸣。爱因斯坦的狭义相对论最近的工作中最吸引人的方面之一是特殊群状环的出现。这种特殊的类群环，被称为回转交换回转群，将爱因斯坦速度相加定律推到了聚光灯下，而之前它主要在阴影中运行。
英文摘要：
In this era of an increased interest in loop theory, the Einstein velocity addition law has fresh resonance. One of the most fascinating aspects of recent work in Einstein's special theory of relativity is the emergence of special grouplike loops. The special grouplike loops, known as gyrocommutative gyrogroups, have thrust the Einstein velocity addition law, which previously has operated mostly in the shadows, into the spotlight.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
