A curious identity and the volume of the root spherical simplex. With an appendix by John R. Stembridge.

DOI10.4171/RLM/460zbMath1176.20040OpenAlexW2962853888MaRDI QIDQ997583

Corrado De Concini, Claudio Procesi

Publication date: 7 August 2007

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/460

zbMATH Keywords

affine Weyl groupscrystallographic root systemssimple reflectionsCoxeter generatorssimple root systems

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Root systems (17B22)

Related Items (7)

An identity for the coefficients of characteristic polynomials of hyperplane arrangements ⋮ Projection volumes of hyperplane arrangements ⋮ A note on De Concini and Procesi's curious identity. ⋮ Root polytopes and abelian ideals ⋮ A geometric interpretation of the characteristic polynomial of reflection arrangements ⋮ Combinatorics and geometry of power ideals ⋮ Combinatorics and topology of toric arrangements defined by root systems

Cites Work

• Unnamed Item
• On the geometry of toric arrangements
• The cohomology of the regular semisimple variety
• The homotopy type of Artin groups
• Cohomology of Artin groups
• THE SYMMETRIC GROUP REPRESENTATION ON COHOMOLOGY OF THE REGULAR ELEMENTS OF A MAXIMAL TORUS OF THE SPECIAL LINEAR GROUP
• A toral configuration space and regular semisimple conjugacy classes
• Endomorphisms of linear algebraic groups
• Invariants of Finite Reflection Groups

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