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Multilinear invariant forms built of an arbitrary number of unitary representations ofSL n,C

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Il Nuovo Cimento A (1965-1970)

Summary

We study a method to construct multilinear invariant forms from a given set of unitary irreducible representations of the groupSL n,C. We use a global technique based on the theory of Gel’fand and Neumark.

Riassunto

Si studia un metodo per costruire forme invarianti multilineari da una data classe di rappresentazioni irriducibili unitarie del gruppoSL(n, C). Si usa una tecnica globale basata sulla teoria di Gel’fand e Neumark.

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References

  1. J. M. Gel’fand andM. A. Neumark:Unitäre Darstellungen der klassischen Gruppen (Berlin, 1957).

  2. W. Rühl: CERN Preprints TH 618, 626, 636 hereafter quoted as (H), (P), (R).

  3. C. Fronsdal:Proceedings of the International Seminar on High-Energy Physics and Elementary Particles (Trieste, 1965).

  4. M. A. Neumark:Am. Math. Soc. Transl., Series 2,36, 101 (1964).

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Tranduzione a cura della Redazione.

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Rühl, W. Multilinear invariant forms built of an arbitrary number of unitary representations ofSL n,C . Nuovo Cimento A (1965-1970) 44, 659–670 (1966). https://doi.org/10.1007/BF02911193

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  • DOI: https://doi.org/10.1007/BF02911193

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