General eigenvalue formula for Casimir invariants of type I quantum superalgebras

Induced invariant forms and the multiplicity labeling problem are investigated for typical summands of the tensor product of an arbitrary finite dimensional irreducible representation and a typical one, for the type I quantum superalgebras. The results are applied to obtain a general eigenvalue formula for Casimir invariants, corresponding to an arbitrary finite dimensional irreducible reference representation. (C) 1996 American Institute of Physics