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<p>We study a relation between the Drinfeld modules and the even dimensional noncommutative tori. A non-abelian class field theory is developed based on this relation. Explicit generators of the Galois extensions are constructed.</p>

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Non-abelian Class Field Theory and Higher Dimensional Noncommutative Tori

  • 期刊论文

  • 发表日期：

    2025年7月18日

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  • Igor V. Nikolaev

摘要

We study a relation between the Drinfeld modules and the even dimensional noncommutative tori. A non-abelian class field theory is developed based on this relation. Explicit generators of the Galois extensions are constructed.