Elsevier

Advances in Mathematics

Volume 33, Issue 2, August 1979, Pages 144-160
Advances in Mathematics

Root systems of hyperbolic type

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This paper begins with a survey of the known results about root systems. There follows the definition of hyperbolic root systems, and the explicit description of the imaginary roots of such a system as the points of intersection of a lattice and a cone. Finally there is a proof of the conjugacy of bases in a symmetrizable root system by the extended Weyl group.

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