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

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...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2023
1. Verfasser: Liu, Jie
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2023
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211974
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Matrix Spherical Functions for (SU(𝑛 + 𝑚), S(U(𝑛)×U(𝑚))) : Two Specific Classes. Jie Liu. SIGMA 19 (2023), 055, 33 pages

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