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

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2023
• Автор: Liu, Jie
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2023
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211974
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Matrix Spherical Functions for (SU(𝑛 + 𝑚), S(U(𝑛)×U(𝑚))) : 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(𝑛 + 𝑚), S(U(𝑛)×U(𝑚))). The irreducible 𝛫 representations (π, V) in the U(𝑛) part are considered, and the induced representation Indᴳ𝛫π splits multiplicity-free. In this case, the irreducible 𝛫 representation...