A categorification of cyclotomic rings (Q2697606)

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scientific article; zbMATH DE number 7673856
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A categorification of cyclotomic rings
scientific article; zbMATH DE number 7673856

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    A categorification of cyclotomic rings (English)
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    12 April 2023
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    Summary: For any natural number \(n \geq 2\), we construct a triangulated monoidal category whose Grothendieck ring is isomorphic to the ring of cyclotomic integers \(\mathbb{O}_n\). This construction provides an affirmative resolution to a problem raised by Khovanov in 2005.
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    categorification
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    Hopfological algebra
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    cyclotomic rings
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    Hopf algebras
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    stable category
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