Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra

DOI10.1023/A:1007499113471zbMath0974.17030OpenAlexW222414915MaRDI QIDQ1386537

Sébastien Michéa, Daniel Sternheimer, Huzihiro Araki, Moshé Flato

Publication date: 2 December 2001

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

Full work available at URL: https://doi.org/10.1023/a:1007499113471

zbMATH Keywords

deformationsspin systemsinfinite-dimensional algebraselementary particle symmetriesgrand algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) 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) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of manifolds of mappings to the sciences (58D30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

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