Physics – Mathematical Physics
Scientific paper
1998-02-05
J. Math. Phys. 39 (1998) 5601
Physics
Mathematical Physics
11 pages, LaTeX, minor changes, version in J. Math. Phys
Scientific paper
10.1063/1.532552
The Casimir operators of a Lie algebra are in one-to-one correspondence with the symmetric invariant tensors of the algebra. There is an infinite family of Casimir operators whose members are expressible in terms of a number of primitive Casimirs equal to the rank of the underlying group. A systematic derivation is presented of a complete set of identities expressing non-primitive symmetric tensors in terms of primitive tensors. Several examples are given including an application to an exceptional Lie algebra.
Mountain A. J.
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