\(\pi \)-systems of symmetrizable Kac-Moody algebras

DOI10.1007/s11005-020-01345-2zbMath1467.17004arXiv1902.06413OpenAlexW3118254423MaRDI QIDQ2224522

Krishanu Roy, Lisa Carbone, Biswajit Ransingh, Sankaran Viswanath, Komaranapuram N. Raghavan

Publication date: 3 February 2021

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

Full work available at URL: https://arxiv.org/abs/1902.06413

zbMATH Keywords

root systemhyperbolic Kac-Moody algebrassymmetrizable Kac-Moody algebrasregular subalgebraWeyl group orbits\( \pi \)-systemoverextended Kac-Moody algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Applications of Lie (super)algebras to physics, etc. (17B81) Root systems (17B22)

Related Items (1)

Maximal closed subroot systems of real affine root systems

Cites Work

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• Automorphisms of certain root lattices
• Enhanced Dynkin diagrams and Weyl orbits
• Root subsystems of loop extensions
• On regular subalgebras of Kac-Moody algebras and their associated invariant forms. Symmetrizable case
• Embeddings of hyperbolic Kac-Moody algebras into \(E_{10}\)
• A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Maximal closed subroot systems of real affine root systems
• Spacelike singularities and hidden symmetries of gravity
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Hyperbolic Kac Moody algebras and Einstein billiards
• Gradient representations and affine structures in AE _n
• Regular subalgebras of affine Kac–Moody algebras
• Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits
• Cosmological billiards
• Dynkin diagrams for hyperbolic Kac-Moody algebras

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