The Null Decomposition of Conformal Algebras

Details The Null Decomposition of Conformal Algebras The Null Decomposition of Conformal Algebras

2006-06-30

arxiv.org/abs/gr-qc/0606136v2

J.Math.Phys.48:053503,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages

Scientific paper

10.1063/1.2722534

We analyze the decomposition of the enveloping algebra of the conformal algebra in arbitrary dimension with respect to the mass-squared operator. It emerges that the subalgebra that commutes with the mass-squared is generated by its Poincare subalgebra together with a vector operator. The special cases of the conformal algebras of two and three dimensions are described in detail, including the construction of their Casimir operators.

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