Hopf quivers and Nichols algebras in positive characteristic

DOI10.1090/S0002-9939-09-10001-1zbMath1191.16032arXiv0901.4408OpenAlexW2146568706MaRDI QIDQ3648163

Sarah Witherspoon, Aaron Lauve, Claude Cibils

Publication date: 24 November 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4408

zbMATH Keywords

Yetter-Drinfeld modulespointed Hopf algebrasNichols algebrasRadford biproductsHopf quiver algebras

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Bialgebras (16T10) Hopf algebras and their applications (16T05)

Related Items (21)

Isomorphism problems and groups of automorphisms for Ore extensions 𝐾[𝑥[𝑦;𝛿] (zero characteristic)] ⋮ Finite generation of some cohomology rings via twisted tensor product and Anick resolutions ⋮ Rank 4 finite-dimensional Nichols algebras of diagonal type in positive characteristic ⋮ On non-connected pointed Hopf algebras of dimension 16 in characteristic 2 ⋮ On the double of the (restricted) super Jordan plane ⋮ Pointed Hopf algebras of dimension \(p^2q\) in characteristic \(p\) ⋮ Quotient Hopf algebras of the free bialgebra with PBW bases and GK-dimensions ⋮ Finite generation of the cohomology of some skew group algebras. ⋮ (WEAK) INCIDENCE BIALGEBRAS OF MONOIDAL CATEGORIES ⋮ On the structure and cohomology ring of connected Hopf algebras ⋮ Representations of Finite Dimensional Pointed Hopf Algebras Over ℤ_n ⋮ Finite Cartan graphs attached to Nichols algebras of diagonal type ⋮ Rank three Nichols algebras of diagonal type over arbitrary fields ⋮ Weak Hopf quivers, Clifford monoids and weak Hopf algebras. ⋮ Primitive deformations of quantum \(p\)-groups ⋮ Derivations of a parametric family of subalgebras of the Weyl algebra. ⋮ Torsion simple modules over the quantum spatial ageing algebra ⋮ On the restricted Jordan plane in odd characteristic ⋮ A parametric family of subalgebras of the Weyl algebra I. Structure and automorphisms ⋮ Examples of finite-dimensional pointed Hopf algebras in positive characteristic ⋮ EXAMPLES OF FINITE-DIMENSIONAL POINTED HOPF ALGEBRAS IN CHARACTERISTIC 2

Uses Software

• Maple

Cites Work

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• An operator-theoretic approach to invariant integrals on quantum homogeneous \(\text{SU}_{n,1}\)-spaces
• Jordanian plane.
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• A characterization of the borel-like subalgebras of quantum enveloping algebras
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• CLASSIFICATION OF PM QUIVER HOPF ALGEBRAS

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