Coset representatives corresponding to Yetter-Drinfeld modules of modular group and continued fraction

2026/07/22 by Yiwei Zheng
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Abstract

We give complete conjugacy classes of modular group SL(2,Z). Particularly, the conjugacy classes of hyperbolic elements are decided by the proper equivalence classes of indefinite forms, and we give an example. Finally, we describe the coset representatives of centralizer of S, ST, T and hyperbolic elements of SL(2,Z).

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