Root subsystems of loop extensions

Details Root subsystems of loop extensions Root subsystems of loop extensions

2011-02-25

arxiv.org/abs/1102.5131v1

Mathematics

Representation Theory

13 pages

Scientific paper

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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