Affine root systems and dual numbers

DOI10.1016/S0920-5632(01)01572-9zbMath1006.17008OpenAlexW2067963975MaRDI QIDQ1602390

R. Smith

Publication date: 19 June 2002

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0920-5632(01)01572-9

zbMATH Keywords

Cartan matricesreflection groupsdegenerate metric Carroll spaces

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

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• Transitions: Contractions and analytical continuations of the Cayley- Klein groups
• Generalized Kac-Moody algebras
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Contractions of Integrable Equations
• Discrete and continuous graded contractions of representations of Lie algebras
• Possible Kinematics
• On the Contraction of Groups and Their Representations

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