Regular subalgebras of affine Kac–Moody algebras
- Felikson, Anna Independent University of Moscow, Russia - Department of Mathematics, University of Fribourg, Switzerland
- Retakh, Alexander Department of Mathematics, Stony Brook University, USA
- Tumarkin, Pavel Independent University of Moscow, Russia - Department of Mathematics, Michigan State University, East Lansing, USA
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30.07.2008
Published in:
- Journal of Physics A. - 2008, vol. 41, no. 36, p. 365204
English
We classify regular subalgebras of Kac–Moody algebras in terms of their root systems. In the process, we establish that a root system of a subalgebra is always an intersection of the root system of the algebra with a sublattice of its root lattice. We also discuss applications to investigations of regular subalgebras of hyperbolic Kac–Moody algebras and conformally invariant subalgebras of affine Kac–Moody algebras. In particular, we provide explicit formulae for determining all Virasoro charges in coset constructions that involve regular subalgebras.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 11306
- DOI 10.1088/1751-8113/41/36/365204
- Persistent URL
- https://folia.unifr.ch/unifr/documents/300886
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