Bessel functions and representation theory, II holomorphic discrete series and metaplectic representations
نویسندگان
چکیده
منابع مشابه
Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps
Let G be a semi-simple non-compact Lie group with unitary lowest/highest weight representations. We consider explicitly the relation between three types of representations of G: positive energy (unitary lowest weight) representations, (holomorphic) discrete series representations and non-unitary finite-dimensional irreps. We consider mainly the conformal groups SOo(n, 2) treating in full detail...
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where the image of A is in the center of G̃. If G and G̃ are topological groups, and if A is a discrete subgroup of the center of G̃, then we may think of G̃ as a cover of G, in the topological sense. So we will sometimes use the term covering group. Very often for us, A will be the group μn(F ) of n-th roots of unity, in a given field F . We will use this notation only if |μn(F )| = n. By a Metapl...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1977
ISSN: 0022-1236
DOI: 10.1016/0022-1236(77)90030-1