Supersolvability and the Koszul property of root ideal arrangements

DOI10.1090/proc/12810zbMath1331.05053arXiv1410.0195OpenAlexW2138531505MaRDI QIDQ2790250

Axel Hultman

Publication date: 3 March 2016

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

Full work available at URL: https://arxiv.org/abs/1410.0195

zbMATH Keywords

Orlik-Solomon algebra

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of matroids and geometric lattices (05B35) Quadratic and Koszul algebras (16S37)

Related Items (8)

G-quadratic, LG-quadratic, and Koszul quotients of exterior algebras ⋮ The largest coefficient of the highest root and the second smallest exponent ⋮ Inductive and divisional posets ⋮ Universally Koszul and initially Koszul properties of Orlik–Solomon algebras ⋮ The topology of arrangements of ideal type ⋮ Koszulness and supersolvability for Dirichlet arrangements ⋮ The Tutte polynomial of ideal arrangements ⋮ Arrangements of ideal type

Cites Work

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• Broken circuit complexes and hyperplane arrangements
• Supersolvable lattices
• Orlik-Solomon algebras in algebra and topology
• Koszul Algebras from Graphs and Hyperplane Arrangements
• Lower central series and free resolutions of hyperplane arrangements
• Koszul Duality Patterns in Representation Theory
• Exponents for 𝐵-stable ideals

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