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• W3105169630 abstract "Borcherds algebras represent a new class of Lie algebras which have almost all the properties that ordinary Kac-Moody algebras have, and the only major difference is that these generalized Kac-Moody algebras are allowed to have imaginary simple roots. The simplest nontrivial examples one can think of are those where one adds ``by hand'' one imaginary simple root to an ordinary Kac-Moody algebra. We study the fundamental representation of this class of examples and prove that an irreducible module is given by the full tensor algebra over some integrable highest weight module of the underlying Kac-Moody algebra. We also comment on possible realizations of these Lie algebras in physics as symmetry algebras in quantum field theory." @default.
• W3105169630 created "2020-11-23" @default.
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• W3105169630 date "1994-08-01" @default.
• W3105169630 modified "2023-09-24" @default.
• W3105169630 title "On the fundamental representation of borcherds algebras with one imaginary simple root" @default.
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• W3105169630 doi "https://doi.org/10.1007/bf00762796" @default.
• W3105169630 hasPublicationYear "1994" @default.
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