Mathematical Research Letters

Volume 30 (2023)

Number 1

Higher $\operatorname{Ext}$-groups in the triple product case

Pages: 33 – 49

DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n1.a2

Authors

Li Cai (Academy for Multidisciplinary Studies, Beijing National Center for Applied Mathematics, Capital Normal University, Beijing, China)

Yangyu Fan (Academy for Multidisciplinary Studies, Beijing National Center for Applied Mathematics, Capital Normal University, Beijing, China)

Abstract

In this short note, we compute higher extension groups for all irreducible representations and deduce the multiplicity formula for finite length representations in triple product case.

Full Text (PDF format)

L. Cai is partially supported by NSFC grant No.11971254.

Received 1 March 2022

Received revised 13 July 2022

Accepted 4 August 2022

Published 21 June 2023