Matrix Spherical Functions for (SU( + ), S(U() × U())) : Two Specific Classes

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Author: Liu, Jie
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211974
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Matrix Spherical Functions for (SU( + ), S(U()×U())) : Two Specific Classes. Jie Liu. SIGMA 19 (2023), 055, 33 pages

We consider the matrix spherical function related to the compact symmetric pair (G, K) = (SU( + ), S(U()×U())). The irreducible representations (π, V) in the U() part are considered, and the induced representation Indᴳπ splits multiplicity-free. In this case, the irreducible representations in the...