6533b85dfe1ef96bd12bdeac
RESEARCH PRODUCT
Central extensions of the families of quasi-unitary Lie algebras
Mariano SantanderFrancisco J. HerranzJ. C. Perez Buenosubject
High Energy Physics - TheoryPure mathematicsGeneral Physics and AstronomyClosed expressionFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Unitary stateCohomologyHigh Energy Physics - Theory (hep-th)Mathematics - Quantum AlgebraLie algebraFOS: MathematicsQuantum Algebra (math.QA)Contraction (operator theory)Mathematical PhysicsMathematicsdescription
The most general possible central extensions of two whole families of Lie algebras, which can be obtained by contracting the special pseudo-unitary algebras su(p,q) of the Cartan series A_l and the pseudo-unitary algebras u(p,q), are completely determined and classified for arbitrary p,q. In addition to the su(p,q) and u({p,q}) algebras, whose second cohomology group is well known to be trivial, each family includes many non-semisimple algebras; their central extensions, which are explicitly given, can be classified into three types as far as their properties under contraction are involved. A closed expression for the dimension of the second cohomology group of any member of these families of algebras is given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-06-12 |