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arXiv · 2307.16587

Generating operators of symmetry breaking -- from discrete to continuous

Toshiyuki Kobayashi
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Abstract

Based on the "generating operator" of the Rankin--Cohen brackets introduced in Kobayashi-Pevzner [arXiv:2306.16800], we present a method to construct various fundamental operators with continuous parameters such as invariant trilinear forms on infinite-dimensional representations, the Fourier and the Poisson transforms on the anti-de Sitter space, and integral symmetry breaking operators for the fusion rules, among others, out of a countable set of differential symmetry breaking operators.

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Toshiyuki Kobayashi. 2023-07-31. Generating operators of symmetry breaking -- from discrete to continuous. https://doi.org/10.1016/j.indag.2024.03.007

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