Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits

DOI10.1088/1751-8113/43/15/155209zbMath1187.81156arXiv1003.0564OpenAlexW2090505457WikidataQ56474335 ScholiaQ56474335MaRDI QIDQ3558094

Robert McRae, Debajyoti Nandi, Lisa Carbone, Diego Penta, Yusra Naqvi, Leigh Cobbs, Sjuvon Chung

Publication date: 29 April 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0564

zbMATH Keywords

simplesemisimpleLie algebras of Lie groupsalgebraic theory of Lie algebrashyperbolic groups and nonpositively curved groupsKac-Moody (super)algebras (structure and representation theory)reductive (super)algebras (roots)

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lie algebras of Lie groups (22E60) Hyperbolic groups and nonpositively curved groups (20F67) Simple, semisimple, reductive (super)algebras (17B20)

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