论文标题
量子Minkowski空间的对称顺序和WEYL实现
Symmetric ordering and Weyl realizations for quantum Minkowski spaces
论文作者
论文摘要
审查了非交换量子Minkowski空间的对称顺序和WEYL实现。提出了谎言变形的空间和相应的恒星产物的Weyl实现，以及对应于Weyl实现和相关的扭曲。还讨论了从HOPF代数意义上理解的Drinfeld Twist。给出了一些相应的Weyl实现的例子。我们表明，对于原始的Snyder空间，存在对称顺序，但没有Weyl实现。考虑了Minkowski空间的二次变形，并证明对称顺序已变形并可以定义广义的Weyl实现。
Symmetric ordering and Weyl realizations for non commutative quantum Minkowski spaces are reviewed. Weyl realizations of Lie deformed spaces and corresponding star products, as well as twist corresponding to Weyl realization and coproduct of momenta are presented. Drinfeld twists understood in Hopf algebroid sense are also discussed. A few examples of corresponding Weyl realizations are given. We show that for the original Snyder space there exists symmetric ordering, but no Weyl realization. Quadratic deformations of Minkowski space are considered and it is demonstrated that symmetric ordering is deformed and a generalized Weyl realization can be defined.
