Characteristic quasi-polynomials of ideals and signed graphs of classical root systems

DOI10.1016/j.ejc.2019.03.001zbMath1412.52018arXiv1805.00179OpenAlexW2798775066WikidataQ128177695 ScholiaQ128177695MaRDI QIDQ2422237

Tan Nhat Tran

Publication date: 18 June 2019

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00179

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Signed and weighted graphs (05C22) Root systems (17B22)

Related Items (3)

Eulerian polynomials for subarrangements of Weyl arrangements ⋮ Inductive and divisional posets ⋮ An equivalent formulation of chromatic quasi-polynomials

Cites Work

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• The freeness of ideal subarrangements of Weyl arrangements
• Periodicity of hyperplane arrangements with integral coefficients modulo positive integers
• Signed graphs
• Characteristic and Ehrhart polynomials
• Universal Tutte characters via combinatorial coalgebras
• Characteristic polynomials of linial arrangements for exceptional root systems
• Worpitzky partitions for root systems and characteristic quasi-polynomials
• Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials
• Characteristic polynomials of subspace arrangements and finite fields
• B-Stable Ideals in the Nilradical of a Borel Subalgebra
• The Geometry of Root Systems and Signed Graphs
• The number of lattice points in alcoves and the exponents of the finite Weyl groups
• The Arithmetic Tutte Polynomials of the Classical Root Systems
• The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements

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