On subsequences of quiddity cycles and Nichols algebras

DOI10.1016/j.jalgebra.2018.01.028zbMath1400.05277arXiv1610.02243OpenAlexW2962765811MaRDI QIDQ1706247

Michael Cuntz

Publication date: 21 March 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02243

zbMATH Keywords

Catalan numberNichols algebrafrieze patternWeyl groupoidquiddity cycle

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Sets with a single binary operation (groupoids) (20N02) Root systems (17B22)

Related Items (1)

On the Tits cone of a Weyl groupoid

Cites Work

• Frieze patterns as root posets and affine triangulations
• A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups
• Classification of arithmetic root systems
• Weyl groupoids with at most three objects.
• Simplicial arrangements on convex cones
• Weyl groupoids of rank two and continued fractions.
• Rank 2 Nichols algebras of diagonal type over fields of positive characteristic.
• Reflection groupoids of rank two and cluster algebras of type \(A\)
• The Weyl groupoid of a Nichols algebra of diagonal type
• Triangulated polygons and frieze patterns
• Infinite friezes

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