Chern classes of group representations over a number field

Beno Eckmann; Guido Mislin

Compositio Mathematica (1981)

  • Volume: 44, Issue: 1-3, page 41-65
  • ISSN: 0010-437X

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Eckmann, Beno, and Mislin, Guido. "Chern classes of group representations over a number field." Compositio Mathematica 44.1-3 (1981): 41-65. <http://eudml.org/doc/89523>.

@article{Eckmann1981,
author = {Eckmann, Beno, Mislin, Guido},
journal = {Compositio Mathematica},
keywords = {Galois group of cyclotomic extensions; orders of Chern classes; finite- dimensional representations; algebraic number field; Bernoulli number},
language = {eng},
number = {1-3},
pages = {41-65},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Chern classes of group representations over a number field},
url = {http://eudml.org/doc/89523},
volume = {44},
year = {1981},
}

TY - JOUR
AU - Eckmann, Beno
AU - Mislin, Guido
TI - Chern classes of group representations over a number field
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 44
IS - 1-3
SP - 41
EP - 65
LA - eng
KW - Galois group of cyclotomic extensions; orders of Chern classes; finite- dimensional representations; algebraic number field; Bernoulli number
UR - http://eudml.org/doc/89523
ER -

References

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  1. [1] N. Bourbaki: Algèbre II, Chapitre 5, §6, Hermann, Paris1959. 
  2. [2] R.M. Charney: Homological stability for GLn of a Dedekind domain. Bull. Amer. Math. Soc.1(2) 1979, 428-431. Zbl0425.18011MR520080
  3. [3] B. Eckmann and G. Mislin: Rational representations of finite groups and their Euler class. Math. Ann.245 (1979), 45-54. Zbl0403.20005MR552578
  4. [4] B. Eckmann and G. Mislin: On the Euler class of representations of finite groups over real fields. Comment. Math. Helv.55 (1980), 319-329. Zbl0447.20005MR593049
  5. [5] W. End: Ueber einen Satz von Frobenius und Solomon. Archiv der MathematikXXII (3) 1971, 241-245. Zbl0224.20032MR291311
  6. [6] W. End: Operationen für den komplexen Charakterring. Archiv der MathematikXII (4) 1972, 370-379. Zbl0274.20011MR340398
  7. [7] A. Grothendieck: Classes de Chern et représentations linéaires des groupes discrets. Dans: Dix exposés sur la cohomologie des schémas. North Holland1968. Zbl0198.26101MR265370
  8. [8] I.M. Isaacs: Character theory of finite groups. Academic Press1976. New York-San Francisco- London. Zbl0337.20005MR460423
  9. [9] M. Kervaire: Opérations d'Adams on théorie des représentations linéaires des groupes finis. Ens. Math.22 (1976), 1-28. Zbl0335.20003MR417268
  10. [10] CH. Kratzer: Opérations d'Adams en K-théorie algébrique. C.R. Acad. Sc. Paris, t. 287, Série A1978, 297-298. Zbl0395.18006MR506639
  11. [11] T.Y. Lam: The algebraic theory of quadratic forms. Benjamin Inc.1973. Zbl0259.10019MR396410
  12. [12] CH. Soulé: Classes de torsion dans la cohomologie des groupes arithmétiques. C.R. Acad. Sc. Paris, t. 284, Série A1977, 1009-1011. Zbl0346.55023MR433452
  13. [13] CH. Thomas: Characteristic classes of representations over imaginary quadratic number fields. Springer Lecture Notes in Math.788, 471-481. Zbl0439.57013MR585676

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