Eigenvalues of Casimir invariants for Uq[osp(m|n)]

Details Eigenvalues of Casimir invariants for Uq[osp(m|n)] Eigenvalues of Casimir invariants for Uq[osp(m|n)]

2005-06-07

arxiv.org/abs/math/0506110v1

Mathematics

Quantum Algebra

24 pages, no figures

Scientific paper

10.1063/1.2137712

For each quantum superalgebra $U_q[osp(m|n)]$ with $m>2$, an infinite family
of Casimir invariants is constructed. This is achieved by using an explicit
form for the Lax operator. The eigenvalue of each Casimir invariant on an
arbitrary irreducible highest weight module is also calculated.

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