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arxiv: 2308.13120 · v2 · pith:UW6YTPIRnew · submitted 2023-08-25 · 🧮 math.QA

On infinite-dimensional Hopf algebras

Nicol\'as Andruskiewitsch This is my paper
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keywords algebrashopfinfinite-dimensionalaspectsdimensionfinitegelfand-kirillovpointed
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This is a survey on pointed Hopf algebras with finite Gelfand-Kirillov dimension and related aspects of the theory of infinite-dimensional Hopf algebras.

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  1. A Noetherian Hopf algebra is affine iff its Hopf coradical is affine

    math.RA 2026-06 unverdicted novelty 7.0

    A left or right Noetherian Hopf algebra over a field K is affine if and only if its Hopf coradical is affine.