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)

paper · pdf · doi:10.48550/arxiv.0911.5210

openalex publication_date 2009/11/27 · 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

Related

• Howe duality for the dual pair SL₂(\mathbb R) × F_4,1: a ping-pong of K-types
• Correspondance de Howe: paires duales de type II
• The Howe duality conjecture: quaternionic case
• On the realization of a class of SL(2,ℤ)-representations
• Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs