On some root multiplicities for Nichols algebras of diagonal type over arbitrary fields

DOI10.1080/00927872.2019.1623243zbMath1468.16048arXiv1808.09328OpenAlexW2889019176MaRDI QIDQ5238181

Ying Zheng

Publication date: 28 October 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09328

zbMATH Keywords

multiplicityNichols algebrasroot vector

Mathematics Subject Classification ID

Combinatorics on words (68R15) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05) Root systems (17B22)

Cites Work

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• Quantum groups and quantum shuffles
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Root multiplicities for Nichols algebras of diagonal type of rank two
• Rank 2 Nichols algebras with finite arithmetic root system
• The Weyl groupoid of a Nichols algebra of diagonal type
• Bialgebras of type one^*

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