Transitions: Contractions and analytical continuations of the Cayley- Klein groups

DOI10.1007/BF00672035zbMath0702.51013OpenAlexW1969973034MaRDI QIDQ915126

Elsie Sterbin Gottlieb

Publication date: 1990

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00672035

zbMATH Keywords

contractionmotion grouptransitionCayley-Klein geometryanalytical continuation of a groupkinematic group

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (6)

The Gel’fand–Tsetlin representations of the orthogonal Cayley–Klein algebras ⋮ Hypercomplex representations of the Heisenberg group and mechanics ⋮ Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras ⋮ Possible quantum kinematics. II. Nonminimal case ⋮ Possible quantum kinematics ⋮ Affine root systems and dual numbers

Cites Work

• Unnamed Item
• Group contraction and the nine Cayley-Klein geometries
• The Casimir operators of inhomogeneous groups
• Possible Kinematics
• Unitary Representations of the Group O(2, 1) in an O(1, 1) Basis
• On the Contraction of Groups and Their Representations

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