Felikson, Anna Retakh, Alexander Tumarkin, Pavel 2008-07-30 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. application/pdf https://folia.unifr.ch/global/documents/300886 https://folia.unifr.ch/documents/300886/files/felikson_rsa.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/41/36/365204 info:eu-repo/semantics/openAccess License undefined Journal of Physics A. - 2008, vol. 41, no. 36, p. 365204 info:eu-repo/classification/udc/51 Regular subalgebras of affine Kac–Moody algebras http://purl.org/coar/resource_type/c_6501