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Central Extensions of the Quasi-orthogonal Lie algebras

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arxiv q-alg/9612021 v2 pith:2KKH3SBS submitted 1996-12-17 q-alg hep-thmath-phmath.MPmath.QA

J. A. de Azcarraga , F. J. Herranz , J. C. Perez Bueno , M. Santander This is my paper · ORCID
classification q-alghep-thmath-phmath.MPmath.QA
keywords algebrascentralextensionsfamilyarbitrarycasescohomologycontractions
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We determine the central extensions of a whole family of Lie algebras, obtained by the method of graded contractions from so(N+1), N arbitrary. All the inhomogeneous orthogonal and pseudo-orthogonal algebras are members of this family, as well as a large number of other non-semisimple algebras, all of which have at least a semidirect structure (in some cases two or more). The dimensions of their second cohomology groups H^2(G,R) and the explicit expression of their central extensions are given.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Statistical Physics of Planar Carroll Systems

    math-ph 2026-06 unverdicted novelty 7.0 of 10

    Planar Carrollian statistical physics is well-defined thanks to central extensions and rotation, yielding logarithmic entropy scaling with disc area and two-dimensional ideal-gas pressure.

  2. Peierls substitution and Hall motion in exotic Carroll dynamics

    hep-th 2024-11 accept novelty 5.0 of 10

    Exotic Carroll particles with two-parameter central extension move by an anomalous Hall law, and their critical reduction reproduces the Dunne-Jackiw-Trugenberger model underlying the Peierls substitution.

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