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<p>Using Salem numbers, Nancy Scherich proved the existence of discrete real specializations of reduced Burau representation, Jones representations, and Lawrence-Krammer representation. In our work, we extend the results to Wada representations and Gassner representation. We also provide explicit Salem numbers under which these representations are discrete.</p>

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Discreteness of specializations of Wada representations and Gassner representation

  • 期刊论文

  • 发表日期：

    2026年7月22日

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  • Jihan N. Zeineddine,
  • Mohamad N. Nasser,
  • Mohammad N. Abdulrahim

摘要

Using Salem numbers, Nancy Scherich proved the existence of discrete real specializations of reduced Burau representation, Jones representations, and Lawrence-Krammer representation. In our work, we extend the results to Wada representations and Gassner representation. We also provide explicit Salem numbers under which these representations are discrete.