Axioms for infinite root systems

DOI10.1080/00927879508825501zbMath0836.17010OpenAlexW1974016467MaRDI QIDQ4857399

John G. Bliss

Publication date: 21 February 1996

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879508825501

zbMATH Keywords

reflection groupinfinite root systemsgeneralized Cartan matrixgeometric Tits conerational root systemthree concepts of root systems

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

Abstract definition of a root system in the symmetrisable case.

Cites Work

• Root systems of hyperbolic type
• Root Systems and Cartan Matrices

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