Root subsystems of loop extensions
Identifieur interne : 000262 ( Main/Exploration ); précédent : 000261; suivant : 000263Root subsystems of loop extensions
Auteurs : M. J. Dyer [États-Unis] ; G. I. Lehrer [Australie]Source :
- Transformation Groups [ 1083-4362 ] ; 2011-09-01.
Abstract
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 Ψ, and “scaling functions” on Ψ. Our results generalise and simplify earlier work on subsystems of real affine root systems.
Url:
DOI: 10.1007/s00031-011-9142-9
Affiliations:
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