Notes on unitary theta representations of compact groups

2020/06/15 by Wang, Chun-Hui
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2006.08136

Abstract

We continue our work on understanding Howe correspondences by using theta representations from p-adic groups to compact groups. We prove some results for unitary theta representations of compact groups with respect to the induction and restriction functors.

Related

• Unitary Representations and Theta Correspondence for Type I Classical Groups
• Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs
• On the local theta representation
• Lectures on local theta correspondence
• Howe duality and dichotomy for exceptional theta correspondences