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

2009/11/27 by Guillaume Tomasini, Tomasini, Guillaume
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.0911.5210

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

openalex publication_date 2009/11/27 · arxiv created 2010/02/22 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A generalisation of the category O of Bernstein-Bernstein-Gelfand

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