2006-12-01
A category of modules for the full toroidal Lie algebra
Publication
Publication
International Mathematics Research Notices , Volume 2006
We define a category of bounded modules for the full toroidal Lie algebra, classify irreducible modules in this category, and give their explicit vertex operator realizations. Using the technique of vertex algebras, we prove that for a generic level such modules decompose into a tensor product of five factors, which are simple modules for a sub-VOA of a lattice VOA, two affine Lie algebras, a Heisenberg algebra, and a Virasoro algebra.
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doi.org/10.1155/IMRN/2006/68395 | |
International Mathematics Research Notices | |
Organisation | School of Mathematics and Statistics |
Billig, Y. (2006). A category of modules for the full toroidal Lie algebra. International Mathematics Research Notices, 2006. doi:10.1155/IMRN/2006/68395
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