标题： 一个模糊的双极天球 显示英文标题

标题： A fuzzy bipolar celestial sphere

摘要： 我们引入了一种非交换变形的双极球谐波代数，该代数支持整个洛伦兹代数的作用。 我们的构造在精神上接近于与模糊球相关的非交换球谐波的构造，因此它导致角动量的最大值。 我们推导了洛伦兹 boost 生成元在这类非交换球谐波上的作用，并证明了它与存在最大角动量相容。 显示英文摘要

摘要： We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy sphere and, as such, it leads to a maximal value of the angular momentum. We derive the action of Lorentz boost generators on such non-commutative spherical harmonics and show that it is compatible with the existence of a maximal angular momentum.