A Howe-type correspondence for the dual pair (sl(2),sl(n)) in sl(2n)
Representation Theory
2010-02-22 v2
Abstract
In this article we prove a Howe correspondence for a family of representations of sl(2n), which was introduced by Benkart, Britten, and Lemire.
Cite
@article{arxiv.0911.5210,
title = {A Howe-type correspondence for the dual pair (sl(2),sl(n)) in sl(2n)},
author = {Guillaume Tomasini},
journal= {arXiv preprint arXiv:0911.5210},
year = {2010}
}
Comments
Second version. Some proofs in section 2 have been detailed. Section 3 has been partially rewritten