On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension

DOI10.4171/RLM/880zbMath1445.16030arXiv1805.12000MaRDI QIDQ2180286

István Heckenberger, Nicolás Andruskiewitsch, Iván Ezequiel Angiono

Publication date: 13 May 2020

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.12000

zbMATH Keywords

Hopf algebrasGelfand-Kirillov dimensionNichols algebras

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (5)

Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ Finite GK-dimensional Nichols algebras over the infinite dihedral group ⋮ Duality for infinite-dimensional braided bialgebras and their (co)modules ⋮ On Nichols algebras over basic Hopf algebras ⋮ Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups

Cites Work

• Quantum Lie theory. A multilinear approach
• On finite dimensional Nichols algebras of diagonal type
• Classification of arithmetic root systems
• Quasisymmetric and unipotent tensor categories
• Quantum groups and quantum shuffles
• A freeness theorem for Nichols algebras
• Hopf algebras under finiteness conditions
• On Nichols algebras of diagonal type
• On finite-dimensional Hopf algebras
• NOETHERIAN HOPF ALGEBRAS
• Noetherian Hopf algebras
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