Orthogonal decomposition of some affine Lie algebras in terms of their Heisenberg subalgebras

DOI10.1007/BF01017449zbMath0852.17021arXivhep-th/9411036MaRDI QIDQ1920548

David I. Olive, Mikhail V. Saveliev, Luiz Agostinho Ferreira

Publication date: 12 December 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9411036

zbMATH Keywords

decompositionHeisenberg subalgebrasuntwisted affine Kac-Moody algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (1)

Sylvester-'t Hooft generators and relations between them for \(\mathfrak{sl}(n)\) and \(\mathfrak{gl}(n| n)\)

Cites Work

• Unnamed Item
• Fermions and octonions
• Realization of the basic representations of the Euclidean Lie algebras
• Solitons and the energy-momentum tensor for affine Toda theory.
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras
• The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type A n−1

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