Summary
In this paper thed 2-type representation of the conformal group is examined. We calculate the explicit basis functions of the irreducible spaces and we have an invariant bilinear functional for them. We extend the representation to include reflections as well, and examine the representation of the extended group.
Riassunto
In questo articolo si esamina la rappresentazione di tipod 2 del gruppo conforme. Si calcolano le funzioni di base esplicite per gli spazi irriducibili e si ottiene per essi un operatore funzionale invariante bilineare. Si estende la rappresentazione per comprendere anche le riflessioni, e si esaminano le rappresentazioni del gruppo esteso.
Реэюме
В зтой работе исследуется представлениеd 2-типа конформной группы. Мы вычисляем явные баэисные функции неприводимых пространств и для них получаем инвариантный билинейный функционал. Мы расщиряем представление, чтобы включить также отражения, и исследуем представление расщиренной группы.
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Iwaki, A., Szegö, K. On thed 2-type representation of the conformal group extended by reflections. Nuov Cim A 25, 207–218 (1975). https://doi.org/10.1007/BF02729042
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DOI: https://doi.org/10.1007/BF02729042