The Classification of Almost Affine (Hyperbolic) Lie Superalgebras

DOI10.1142/S1402925110000829zbMath1362.17044arXiv0906.1860OpenAlexW3098174960WikidataQ115523013 ScholiaQ115523013MaRDI QIDQ5737662

Danil Chapovalov, Maxim Chapovalov, Dimitry Leites, Alexei Lebedev

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1860

zbMATH Keywords

hyperbolic Lie superalgebramost affine Lie superalgebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65)

Related Items (13)

Classification of maximal transitive prolongations of super-Poincaré algebras ⋮ Deformations of symmetric simple modular Lie (super)algebras ⋮ More on the tensionless limit of pure-Ramond-Ramond AdS3/CFT2 ⋮ Unnamed Item ⋮ \(G(3)\)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation ⋮ Unnamed Item ⋮ Embedding of simply laced hyperbolic Kac-Moody superalgebras ⋮ Inverses of Cartan matrices of Lie algebras and Lie superalgebras ⋮ Singular degenerations of Lie supergroups of type \(D(2,1;a)\) ⋮ Double extensions of Lie superalgebras in characteristic 2 with nondegenerate invariant supersymmetric bilinear form ⋮ Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras ⋮ The roots of exceptional modular Lie superalgebras with Cartan matrix ⋮ Analogs of Bol operators on superstrings

Uses Software

• Python

Cites Work

• Automorphic forms and Lie superalgebras
• Kac-Moody algebras and the structure of cosmological singularities: a new light on the Belinskii-Khalatnikov-Lifshitz analysis
• Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces
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