Representations of involutory subalgebras of affine Kac-Moody algebras

DOI10.1007/s00220-022-04342-9OpenAlexW3128879683MaRDI QIDQ2129292

Axel Kleinschmidt, Robin Lautenbacher, Ralf Köhl (né Gramlich), Hermann Nicolai

Publication date: 22 April 2022

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

Full work available at URL: https://arxiv.org/abs/2102.00870

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Groups and algebras in quantum theory (81Rxx) Lie algebras and Lie superalgebras (17Bxx)

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Uses Software

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Cites Work

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• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• IIA and IIB spinors from \(K(E_{10})\)
• Spin covers of maximal compact subgroups of Kac-Moody groups and spin-extended Weyl groups
• On higher spin realizations of \(K(E_{10})\)
• On spinorial representations of involutory subalgebras of Kac-Moody algebras
• An introduction to homological algebra
• Buildings of spherical type and finite BN-pairs
• Hidden spacetime symmetries and generalized holonomy in \(M\)-theory
• An introduction to Kac-Moody groups over fields
• Conformal internal symmetry of 2d \(\sigma \)-models coupled to gravity and a dilaton
• A lightcone embedding of the twin building of a hyperbolic Kac-Moody group
• Standard model fermions and \(K(\operatorname{E}_{10})\)
• On \(K(\text{E}_9)\)
• Higher Spin Representations of K(E₁₀)
• On generators and relations for certain involutory subalgebras of kac-moody lie algebras^∗
• Structure and Geometry of Lie Groups
• Gradient representations and affine structures in AE _n
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Présentations de certaines BN-paires jumelées comme sommes amalgamées
• Extending generalized spin representations
• Hidden symmetries and Dirac fermions

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