Regular subalgebras of affine Kac-Moody algebras

Details Regular subalgebras of affine Kac-Moody algebras Regular subalgebras of affine Kac-Moody algebras

2008-07-25

arxiv.org/abs/0807.3986v1

J. Phys. A 41 (2008), 365204 (16pp)

Mathematics

Rings and Algebras

To appear in Journal of Physics A

Scientific paper

10.1088/1751-8113/41/36/365204

We classify regular subalgebras of affine 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.

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