Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation
From MaRDI portal
Publication:5887177
DOI10.1080/00927872.2023.2165660OpenAlexW4319832119MaRDI QIDQ5887177
Publication date: 17 April 2023
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.09280
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras and their applications (16T05) Yang-Baxter equations (16T25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups
- Finite-dimensional pointed Hopf algebras with alternating groups are trivial.
- Nichols algebras of group type with many quadratic relations.
- A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems.
- Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups.
- Classification of arithmetic root systems
- Quantum groups and quantum shuffles
- From racks to pointed Hopf algebras
- A freeness theorem for Nichols algebras
- Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. III: Semisimple classes in \(\mathrm{PSL}_n(q)\)
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Set-theoretical solutions to the quantum Yang-Baxter equation
- On Nichols algebras over basic Hopf algebras
- Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VI. Suzuki and Ree groups
- A combinatorial approach to noninvolutive set-theoretic solutions of the Yang-Baxter equation
- The classification of Nichols algebras over groups with finite root system of rank two
- Examples of finite-dimensional Hopf algebras with the dual Chevalley property
- The Weyl groupoid of a Nichols algebra of diagonal type
- On Nichols algebras of diagonal type
- On some unsolved problems in quantum group theory
- Bialgebras of type one*
- Nichols algebras that are quantum planes
- A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation
- A characterization of the borel-like subalgebras of quantum enveloping algebras
- On finite GK-dimensional Nichols algebras over abelian groups
- Decomposition Theorems for Involutive Solutions to the Yang–Baxter Equation
- Enumeration of set-theoretic solutions to the Yang–Baxter equation
- Hopf Algebras and Root Systems
- Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$
- On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property
- Nichols algebras with many cubic relations
- Examples of Nichols algebras associated to upper triangular solutions of the Yang–Baxter equation in rank 3
- Introduction to quantum groups
This page was built for publication: Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation