Crystallographic arrangements: Weyl groupoids and simplicial arrangements

DOI10.1112/blms/bdr009zbMath1250.20034arXiv1006.1997OpenAlexW3099784179MaRDI QIDQ5199334

Michael Cuntz

Publication date: 16 August 2011

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1997

zbMATH Keywords

Weyl groupoidsfinite root systemssimplicial arrangementscrystallographic arrangements

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of simplicial complexes (05E45) Hopf algebras and their applications (16T05) Root systems (17B22)

Related Items (13)

Algebras of non-local screenings and diagonal Nichols algebras ⋮ Congruence normality of simplicial hyperplane arrangements via oriented matroids ⋮ Frieze patterns as root posets and affine triangulations ⋮ Supersolvable simplicial arrangements ⋮ Strongly symmetric smooth toric varieties ⋮ Coxeter and crystallographic arrangements are inductively free ⋮ A simplicial complex of Nichols algebras ⋮ A bound for crystallographic arrangements ⋮ Simplicial arrangements with up to 27 lines ⋮ Tits arrangements on cubic curves ⋮ Combinatorial simpliciality of arrangements of hyperplanes ⋮ Arrangements of ideal type are inductively free ⋮ On the Tits cone of a Weyl groupoid

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