On Casimir's Ghost
q-alg
2009-10-30 v3 Quantum Algebra
Abstract
We define on the universal enveloping superalgebra of osp(1|2n) a nonstandard adjoint action, endowing it with a module structure. This allows, in particular, to construct a bosonic operator which anticommutes with all the fermionic generators and which appears to be the square root of a certain Casimir operator.
Cite
@article{arxiv.q-alg/9605021,
title = {On Casimir's Ghost},
author = {D. Arnaudon and M. Bauer and L. Frappat},
journal= {arXiv preprint arXiv:q-alg/9605021},
year = {2009}
}
Comments
LaTeX2e, 13 pages,also available at http://lapphp0.in2p3.fr/preplapp/psth/ENSLAPP587.ps.gz ; one sentence removed and a note added. Not a major revision