Incidence geometry in a Weyl chamber. I: \(GL_n\)

DOI10.1016/j.aam.2020.102048zbMath1440.52020arXiv1508.03038OpenAlexW3019242393MaRDI QIDQ2182615

Ravi Jagadeesan, Alfred G. Noël, Mboyo Esole, Steven Glenn Jackson

Publication date: 26 May 2020

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03038

zbMATH Keywords

weightsrootsLie algebrarepresentation theoryhyperplane arrangementWeyl chambers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie (super)algebras to physics, etc. (17B81) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (4)

Incidence geometry in a Weyl chamber. II: \(SL_n\) ⋮ Chiral matter multiplicities and resolution-independent structure in 4D F-theory models ⋮ The geometry of the \(\mathrm{SU}(2){\times} \mathrm{G}_2\)-model ⋮ Euler characteristics of crepant resolutions of Weierstrass models

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