Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type

DOI10.1090/btran/66zbMath1484.16041arXiv2002.11087OpenAlexW3141005570MaRDI QIDQ3389395

Nicolás Andruskiewitsch, Guillermo Sanmarco

Publication date: 10 May 2021

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11087

zbMATH Keywords

Hopf algebras of finite GK-dimensionpre-Nichols algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20)

Related Items (5)

Finite GK-dimensional pre-Nichols algebras of super and standard type ⋮ Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type ⋮ On finite GK-dimensional Nichols algebras of diagonal type: rank 3 and Cartan type ⋮ Rank 4 Nichols algebras of pale braidings ⋮ Quantum groups -- algebra, analysis and category theory. Abstracts from the workshop held September 12--18, 2021 (hybrid meeting)

Uses Software

• GAP

Cites Work

• Distinguished pre-Nichols algebras
• Mini-workshop: Infinite dimensional Hopf algebras. Abstracts from the mini-workshop held April 13--19, 2014.
• Lifting via cocycle deformation.
• Quantum Lie theory. A multilinear approach
• On finite dimensional Nichols algebras of diagonal type
• A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems.
• Classification of arithmetic root systems
• Lusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal type
• On the classification of finite-dimensional pointed Hopf algebras.
• Quantum groups and quantum shuffles
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Finite quantum groups and Cartan matrices
• The quantum divided power algebra of a finite-dimensional Nichols algebra of diagonal type
• A classification result on prime Hopf algebras of GK-dimension one
• On Nichols algebras of diagonal type
• Quantum Coadjoint Action
• An Introduction to Nichols Algebras
• Liftings of Jordan and Super Jordan Planes
• On finite GK-dimensional Nichols algebras of diagonal type
• NOETHERIAN HOPF ALGEBRAS
• Introduction to quantum groups
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