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Root subsystems of loop extensions

Published 25 Feb 2011 in math.RT and math.GR | (1102.5131v1)

Abstract: We completely classify the real root subsystems of root systems of loop algebras of Kac-Moody Lie algebras. This classification involves new notions of "admissible subgroups" of the coweight lattice of a root system $\Psi$, and "scaling functions" on $\Psi$. Our results generalise and simplify earlier work on subsystems of real affine root systems.

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Authors (2)

  1. M. J. Dyer 
  2. G. I. Lehrer 

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