Bell and Shallit recently introduced the Lie complexity of an infinite word s as the function counting for each length the number of conjugacy classes of words whose elements are all factors of s. We give a formula for the Lie complexity of Sturmian words.

翻译：Bell and Shallit 最近引入了一个无限的字的“谎言”复杂性, 作为每个长度的函数, 计算出其元素都是 s 因素的词组的共性类别数量。 我们给出了一个公式来表示Sturmian 词的“谎言”复杂性 。