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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Knapp–Stein Type Intertwining Operators for Symmetric Pairs II. – The Translation Principle and Intertwining Operators for Spinors
Jan Frahm, Bent Ørsted Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000 Aarhus C, Denmark
Аннотация:
For a symmetric pair $(G,H)$ of reductive groups we extend to a large class of generalized principal series representations our previous construction of meromorphic families of symmetry breaking operators. These operators intertwine between a possibly vector-valued principal series of $G$ and one for $H$ and are given explicitly in terms of their integral kernels. As an application we give a complete classification of symmetry breaking operators from spinors on a Euclidean space to spinors on a hyperplane, intertwining for a double cover of the conformal group of the hyperplane.
Ключевые слова:
Knapp–Stein intertwiners, intertwining operators, symmetry breaking operators, symmetric pairs, principal series, translation principle.
Поступила: 17 мая 2019 г.; в окончательном варианте 29 октября 2019 г.; опубликована 2 ноября 2019 г.
Образец цитирования:
Jan Frahm, Bent Ørsted, “Knapp–Stein Type Intertwining Operators for Symmetric Pairs II. – The Translation Principle and Intertwining Operators for Spinors”, SIGMA, 15 (2019), 084, 50 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1520 https://www.mathnet.ru/rus/sigma/v15/p84
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