On Nichols algebras over SL(2,Fq) and GL(2,Fq)

DOI10.1063/1.2821614zbMath1153.81361arXivmath/0703498OpenAlexW3098427289MaRDI QIDQ3544565

Sebastián Freyre, Leandro Vendramin, Matías Graña

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/math/0703498

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (8)

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. V: Mixed classes in Chevalley and Steinberg groups ⋮ New large-rank Nichols algebras over nonabelian groups with commutator subgroup \(\mathbb Z_2\). ⋮ Pointed Hopf algebras over the sporadic simple groups. ⋮ Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VI. Suzuki and Ree groups ⋮ Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. I: Non-semisimple classes in \(\mathbf{PSL}_n(q)\). ⋮ ON NICHOLS ALGEBRAS OVER PGL(2, q) AND PSL(2, q) ⋮ Finite-dimensional pointed Hopf algebras with alternating groups are trivial. ⋮ Pointed Hopf algebras over some sporadic simple groups.

Cites Work

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• From racks to pointed Hopf algebras
• On pointed Hopf algebras associated with unmixed conjugacy classes in Sm
• AN ALGEBRAIC APPROACH TO LOGARITHMIC CONFORMAL FIELD THEORY
• On pointed Hopf algebras associated to some conjugacy classes in 𝕊_{𝕟}

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