On the classification of hermitian forms. I. Rings of algebraic integers

C. T. C. Wall

Compositio Mathematica (1970)

  • Volume: 22, Issue: 4, page 425-451
  • ISSN: 0010-437X

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Wall, C. T. C.. "On the classification of hermitian forms. I. Rings of algebraic integers." Compositio Mathematica 22.4 (1970): 425-451. <http://eudml.org/doc/89068>.

@article{Wall1970,
author = {Wall, C. T. C.},
journal = {Compositio Mathematica},
language = {eng},
number = {4},
pages = {425-451},
publisher = {Wolters-Noordhoff Publishing},
title = {On the classification of hermitian forms. I. Rings of algebraic integers},
url = {http://eudml.org/doc/89068},
volume = {22},
year = {1970},
}

TY - JOUR
AU - Wall, C. T. C.
TI - On the classification of hermitian forms. I. Rings of algebraic integers
JO - Compositio Mathematica
PY - 1970
PB - Wolters-Noordhoff Publishing
VL - 22
IS - 4
SP - 425
EP - 451
LA - eng
UR - http://eudml.org/doc/89068
ER -

References

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  1. C. Arf [1] Untersuchungen über quadratische Formen in Körpern der Charakteristik 2. Crelle's Journal183 (1941), 148-167. Zbl0025.01403MR8069JFM67.0055.02
  2. A. Bak [2] On modules with quadratic forms. In 'Algebraic K-theory and its Geometrical Applications'. Springer Lecture Notes, vol. 108 (1969), 55-66. Zbl0192.37202MR252431
  3. N. Bourbaki [3] Algèbre Ch. 9: Formes sesquilinéaires et formes quadratiques. Hermann, Paris1959. Zbl0102.25503MR107661
  4. N. Bourbaki [4] Algèbre Commutative Ch. 3: Graduations, filtrations et topologies. Hermann, Paris, 1961. Zbl0119.03603
  5. M. Kneser [5] (a) Hasse principle for H1 of simply connected groups, pp. 159-163. (b) Strong approximation. pp. 187-196, in Proceedings of Symp. in Pure Math. IX: Algebraic groups and discontinuous subgroups. Amer. Math. Soc.1966. Zbl0201.37904MR220736
  6. W. Landherr [6] Aquivalenz Hermitscher Formen über einem beliebigen algebraischen Zahlkörper. Abh. Math. Sem. Hamburg11 (1936), 245-248. Zbl0013.38901JFM62.0170.01
  7. O.T. O'Meara [7] Introduction to quadratic forms. Springer-Verlag. Zbl0107.03301
  8. J.-P. Serre [8] Corps Locaux. Hermann, 1962. Zbl0137.02601MR354618
  9. G. Shimura [9] Arithmetic of unitary groups. Ann. of Math.79 (1964), 369-409. Zbl0144.29504MR158882
  10. C.T.C. Wall[10] On the axiomatic foundations of the theory of Hermitian forms. Proc. Camb. Phil. Soc.67 (1970), 243-250. Zbl0197.31103MR251054

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