The Zhang transformation and U_q(osp(1,2l))-Verma modules annihilators
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
In [ZH], R.B. Zhang found a way to link certain formal deformations of the Lie algebra o(2l+1) and the Lie superalgebra osp(1,2l). The aim of this article is to reformulate the Zhang transformation in the context of the quantum enveloping algebras "\`a la" Drinfeld-Jimbo and to show how this construction can explain the main theorem of [GL2]: the annihilator of a Verma module over the Lie superalgebra osp(1,2l) is generated by its intersection with the centralizer of the even part of the enveloping algbra.
Keywords
Cite
@article{arxiv.math/9911041,
title = {The Zhang transformation and U_q(osp(1,2l))-Verma modules annihilators},
author = {Emmanuel Lanzmann},
journal= {arXiv preprint arXiv:math/9911041},
year = {2007}
}
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21 pages