English

A decription of the quantum superalgebra $U_q[osp(2n+1/2m)]$ via Green generators

q-alg 2008-02-03 v1 High Energy Physics - Theory Quantum Algebra

Abstract

A description of the orthosymplectic Lie superalgebra osp(2n+1/2m)osp(2n+1/2m) and also of its qq-deformed analogue Uq[osp(2n+1/2m)]U_q[osp(2n+1/2m)] in terms of a new set of generators, called Green generators, is given. These generators are very different form the well known Chevalley generators. Mathematically the Green generators are the root vectors, corresponding to the positive and the negative orthogonal roots. Physically, they consist of mm pairs of (deformed) para-Bose operators and nn pairs of (deformed) para-Fermi operators.

Keywords

Cite

@article{arxiv.q-alg/9607030,
  title  = {A decription of the quantum superalgebra $U_q[osp(2n+1/2m)]$ via Green generators},
  author = {Tchavdar D. Palev},
  journal= {arXiv preprint arXiv:q-alg/9607030},
  year   = {2008}
}

Comments

TeX, 8 pages