Hopf Algebras and Root Systems

DOI10.1090/surv/247zbMath1473.16026OpenAlexW3136885565MaRDI QIDQ5130395

István Heckenberger, Hans-Juergen Schneider

Publication date: 4 November 2020

Published in: Mathematical Surveys and Monographs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/surv/247

zbMATH Keywords

root systemsbraided Hopf algebrasfinite-dimensional Hopf algebrasNichols algebrasWeyl groupoidsright coideal subalgebrasCartan graphs

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05) Root systems (17B22)

Related Items (12)

Nichols systems and their reflections ⋮ Algebras of non-local screenings and diagonal Nichols algebras ⋮ Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation ⋮ Finite GK-dimensional Nichols algebras over the infinite dihedral group ⋮ Rank 4 Nichols algebras of pale braidings ⋮ A decomposition Theorem for pointed braided Hopf algebras ⋮ Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings ⋮ Brownian motion on involutive braided spaces ⋮ The Weyl groupoids of \(\mathfrak{sl}(m | n)\) and \(\mathfrak{osp}(r | 2 n)\) ⋮ Yetter-Drinfeld modules over Nichols systems: reflections, induced objects and maximal subobject ⋮ Quantum groups -- algebra, analysis and category theory. Abstracts from the workshop held September 12--18, 2021 (hybrid meeting) ⋮ Hecke symmetries: an overview of Frobenius properties

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