Central Extensions of the Quasi-orthogonal Lie algebras

J. A. de Azcarraga; F. J. Herranz; J. C. Perez Bueno; M. Santander

doi:10.1088/0305-4470/31/5/008

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arXiv · q-alg/9612021

Central Extensions of the Quasi-orthogonal Lie algebras

J. A. de Azcarraga·F. J. Herranz·J. C. Perez Bueno·M. Santander

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Abstract

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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BibTeX RIS

J. A. de Azcarraga, F. J. Herranz, J. C. Perez Bueno, M. Santander. 1997-11-27. Central Extensions of the Quasi-orthogonal Lie algebras. https://doi.org/10.1088/0305-4470%2F31%2F5%2F008

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