English

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

Quantum Algebra 2009-11-11 v1 Representation Theory

Abstract

For each quantum superalgebra Uq[osp(mn)]U_q[osp(m|n)] with m>2m>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.

Cite

@article{arxiv.math/0506110,
  title  = {Eigenvalues of Casimir invariants for Uq[osp(m|n)]},
  author = {K. A. Dancer and M. D. Gould and J. Links},
  journal= {arXiv preprint arXiv:math/0506110},
  year   = {2009}
}

Comments

24 pages, no figures