A Howe-type correspondence for the dual pair (sl(2),sl(n)) in sl(2n)

Details A Howe-type correspondence for the dual pair (sl(2),sl(n)) in sl(2n) A Howe-type correspondence for the dual pair (sl(2),sl(n)) in sl(2n)

2009-11-27

arxiv.org/abs/0911.5210v2

Mathematics

Representation Theory

Second version. Some proofs in section 2 have been detailed. Section 3 has been partially rewritten

Scientific paper

In this article we prove a Howe correspondence for a family of
representations of sl(2n), which was introduced by Benkart, Britten, and
Lemire.

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