Classification of the irreducible representations of the groups I O ( n )

Fritz Schwarz

Annales de l'I.H.P. Physique théorique (1971)

  • Volume: 15, Issue: 1, page 15-35
  • ISSN: 0246-0211

How to cite

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Schwarz, Fritz. "Classification of the irreducible representations of the groups $IO(n)$." Annales de l'I.H.P. Physique théorique 15.1 (1971): 15-35. <http://eudml.org/doc/75704>.

@article{Schwarz1971,
author = {Schwarz, Fritz},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {semidirect product; n-dimensional orthogonal group; group of translations of n-dimensional vector space of real n-tuples; irreducible representations of IO(n); ISO(n)},
language = {eng},
number = {1},
pages = {15-35},
publisher = {Gauthier-Villars},
title = {Classification of the irreducible representations of the groups $IO(n)$},
url = {http://eudml.org/doc/75704},
volume = {15},
year = {1971},
}

TY - JOUR
AU - Schwarz, Fritz
TI - Classification of the irreducible representations of the groups $IO(n)$
JO - Annales de l'I.H.P. Physique théorique
PY - 1971
PB - Gauthier-Villars
VL - 15
IS - 1
SP - 15
EP - 35
LA - eng
KW - semidirect product; n-dimensional orthogonal group; group of translations of n-dimensional vector space of real n-tuples; irreducible representations of IO(n); ISO(n)
UR - http://eudml.org/doc/75704
ER -

References

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  1. [1] I.M. Gelfand and M.L. Zetlin, Dokl. Akad. Nauk SSSR, t. 71, 1950, p. 1017-1020. Zbl0037.15302
  2. [2] A.H. Clifford, Ann. Math., t. 38, 1937, p. 533-550. Zbl0017.29705MR1503352JFM63.0076.04
  3. [3] A. Chakrabarti, Jour. Math. Phys., t. 9, 1968, p. 2087-2100. Zbl0177.28302
  4. [4] H. Weyl, The Classical Groups, Princeton University Press, 1946. Zbl1024.20502MR1488158
  5. [5] H. Boerner, Darstellungen von Gruppen, Springer, Berlin, 1967. Zbl0166.29301MR229733
  6. [6] G. Krafft, Mitt. Math. Sem. Giessen, t. 53, 1955, p. 1-54. MR73927
  7. [7] C. Chevalley, Theory of Lie Groups I, Princeton University Press, Princeton, 1946. Zbl0063.00842MR82628

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