Finite Cartan graphs attached to Nichols algebras of diagonal type

DOI10.1155/2021/8129361zbMath1500.16035OpenAlexW3193519615MaRDI QIDQ2244317

Jing Wang, Chen Qian

Publication date: 12 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/8129361

zbMATH Keywords

Nichols algebrasCartan graphs

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras and their applications (16T05)

Cites Work

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• Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid.
• Rank three Nichols algebras of diagonal type over arbitrary fields
• A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems.
• Classification of arithmetic root systems
• On the classification of finite-dimensional pointed Hopf algebras.
• Weyl groupoids with at most three objects.
• Compact matrix pseudogroups
• Infinite dimensional Lie superalgebras
• Quantum groups and quantum shuffles
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Finite quantum groups and Cartan matrices
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Rank 4 finite-dimensional Nichols algebras of diagonal type in positive characteristic
• Weyl groupoids of rank two and continued fractions.
• Rank 2 Nichols algebras of diagonal type over fields of positive characteristic.
• Finite Weyl groupoids
• Rank 2 Nichols algebras with finite arithmetic root system
• A generalization of Coxeter groups, root systems, and Matsumoto's theorem.
• The Weyl groupoid of a Nichols algebra of diagonal type
• On Nichols algebras of diagonal type
• Logarithmic $\widehat{s\ell }(2)$ CFT models from Nichols algebras: I
• Finite Weyl groupoids of rank three
• THE NICHOLS ALGEBRA OF SCREENINGS
• Root systems and Weyl groupoids for Nichols algebras
• The Nichols algebra of a semisimple Yetter-Drinfeld module
• Examples of finite-dimensional rank 2 Nichols algebras of diagonal type
• Hopf quivers and Nichols algebras in positive characteristic
• Bialgebras of type one^*
• A characterization of the borel-like subalgebras of quantum enveloping algebras
• Virasoro Central Charges for Nichols Algebras
• On finite-dimensional Hopf algebras
• Introduction to quantum groups

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