On the fundamental representation of Borcherds algebras with one imaginary simple root

DOI10.1007/BF00762796zbMath0807.17021arXivhep-th/9310139MaRDI QIDQ1334973

Jörg Teschner, Reinhold W. Gebert

Publication date: 26 September 1994

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9310139

zbMATH Keywords

fundamental representationgeneralized Kac-Moody algebrasirreducible moduleimaginary simple rootsBorcherds algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (4)

Dimension formula for graded Lie algebras and its applications ⋮ Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra ⋮ A fundamental representation of quantum generalized Kac-Moody algebras with one imaginary simple root ⋮ Realizations of the monster Lie algebra

Cites Work

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• A monster Lie algebra?
• The monster Lie algebra
• Generalized Kac-Moody algebras
• Central extensions of generalized Kac-Moody algebras
• Monstrous moonshine and monstrous Lie superalgebras
• The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
• Vertex algebras, Kac-Moody algebras, and the Monster
• INTRODUCTION TO VERTEX ALGEBRAS, BORCHERDS ALGEBRAS AND THE MONSTER LIE ALGEBRA

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