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K-théorie algébrique et invariants des formes quadratiques

Daniel Guin

Mémoires de la Société Mathématique de France (1979)

  • Volume: 59, page 69-94
  • ISSN: 0249-633X

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Guin, Daniel. "K-théorie algébrique et invariants des formes quadratiques." Mémoires de la Société Mathématique de France 59 (1979): 69-94. <http://eudml.org/doc/94792>.

@article{Guin1979,
author = {Guin, Daniel},
journal = {Mémoires de la Société Mathématique de France},
keywords = {Discriminant; Algebraic K-Theory; Spectral Sequence; Witt-Group; Filtration; Commutative Field; Hermitian Form},
language = {fre},
pages = {69-94},
publisher = {Société mathématique de France},
title = {K-théorie algébrique et invariants des formes quadratiques},
url = {http://eudml.org/doc/94792},
volume = {59},
year = {1979},
}

TY - JOUR
AU - Guin, Daniel
TI - K-théorie algébrique et invariants des formes quadratiques
JO - Mémoires de la Société Mathématique de France
PY - 1979
PB - Société mathématique de France
VL - 59
SP - 69
EP - 94
LA - fre
KW - Discriminant; Algebraic K-Theory; Spectral Sequence; Witt-Group; Filtration; Commutative Field; Hermitian Form
UR - http://eudml.org/doc/94792
ER -

References

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  1. [1] C.J. BUSHNELL, Modular quadratic and hermitian forms over Dedekind ring II. J. für die reine und angew. Math., 288 (1976), 24-36. Zbl0333.10012MR57 #3075b
  2. [2] M. KAROUBI, Périodicité de la K-théorie hermitienne. Springer Lecture Notes, 343 (1973), 301-411. Zbl0274.18016MR52 #3284
  3. [3] M. KAROUBI, Théorie de Quillen et homologie du groupe orthogonal. Zbl0478.18008
  4. [4] M. KAROUBI et O. VILLAMAYOR, K-théorie algébrique et K-théorie topologique II. Math. Scand., 32 (1973), 57-86. Zbl0272.18009MR48 #6214
  5. [5] J.L. LODAY, K-théorie algébrique et représentations de groupes. Ann. Sc. Ec. Norm. Sup. 9 (1976), 309-377. Zbl0362.18014MR56 #5686
  6. [6] J.L. LODAY, Higher Witt groups: a survey. Springer Lecture Notes, 551 (1977), 155-163. Zbl0356.18016
  7. [7] J. MILNOR, Introduction to algebraic K-theory. Annals of Math. Studies, 72 (1971), Princeton University Press. Zbl0237.18005MR50 #2304
  8. [8] J. MILNOR, Algebraic K-theory and quadratic forms. Inventiones Math., 9 (1970), 318-344. Zbl0199.55501MR41 #5465
  9. [9] J. MILNOR and D. HUSEMOLLER, Symmetric bilinear forms. Ergebnisse der Mathematik und Ihrer Greuzgebiete, 73 (1973). Springer Verlag. Zbl0292.10016MR58 #22129
  10. [10] A. MICALI et PH. REVOY, Modules quadratiques. Cahiers Mathématiques, 10 (1977) Publication de l'U.E.R. de Math. Montpellier. Zbl0383.10012
  11. [11] O.T. O'MEARA, Introduction to quadratic forms. Die Grundlehren des mathematischen Wissenschaften un Einzeldarstellugen, 117 (1963). Springer Verlag. Zbl0107.03301MR27 #2485
  12. [12] D. QUILLEN, Cohomology of groups. Congrès Inter. Math. (1970) t. 2, 47-51. Zbl0225.18011MR58 #7627a
  13. [13] J.P. SERRE, Corps locaux. Publication de l'Institut Mathématique de Nancago (1968) — Hermann. Paris. Zbl0423.12017MR50 #7096

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