Publications as ps-file Publications as pdf-file Publications as dvi-file

List of Publications

1.Sur une classe d'algèbres filtrées. Comm. Helv. Math. 42 (1967), 111-132.

2. (with U. Stammbach) Anwendungen der Homologietheorie der Liealgebren auf Zentralreihen und auf Präsentierungen, Comm. Hel. Math. 42 (1967), 197-306.

3. Homology and Homomorphisms of Rings, J. of Algebra 9 (1968), 273-284.

4. A Generalization of Clifford Algebras, Math. Z. 110 (1969), 171-176.

5. On the Enveloping Algebra and the Descending Central Series of a Lie Algebra, J. of Algebra 12 (1969), 335-338.

6. Un théorème de cancellation pour les algèbres d'Azumaya, in ``Sur quelques problèmes d'algèbre'', Publ. no. 52 U.E.R. de Mathématiques Montpellier, 4 (1968/69), 9-24.

7. Algebras graded by a group, Springer LN 92 (1969), 117-133.

8. Sur le théorème de Skolem-Noether et sur les dérivations des algèbres d'Azumaya, C.R. Acad. Sciences. Paris t. 270 (1970), 637-639.

9. Algèbres d'Azumaya et modules projectifs, Comm. Helv. Math. 45 (1970), 372-383.

10. Sur le théorème de Skolem-Noether, in C.R. du 2ème K-Colloque, Publ. No 100

U.E.R. de Mathématiques Montpellier (1970/71), 60-66.

11. (with M. Barr) Extensions of derivations, Proc. Am. Math. Soc. 28 (1971), 313-314.

12. (with M. Ojanguren) Sur le polynôme caractéristique et les automorphismes des algèbres d'Azumaya, Ann. Scuola Normale Sup. Pisa 26 (1972), 225-231.

13. (with M. Ojanguren) A note on the automorphisms of of maximal orders, J. of Algebra 22 (1972), 573-577.

14. (with M. Ojanguren) Sur quelques applications de la théorie de la descente \`a l'étude du groupe de Brauer, Comm. Math. Helv. 47 (1972), 532-542.

15. Quelques problèmes d'existence en algèbre, plaquette du centenaire, Gymnase cantonal, Neuch\^atel 1973. 183-192.

16. (with M. Ojanguren) Théorie de la descente et algèbres d'Azumaya, Springer LN in Mathematics 389 (1974). 163 p.

17. (with M. Ojanguren) A Mayer-Vietoris sequence for the Brauer group Journal of pure and appl. Algebra 5 (1974), 345-360.

18. (with M. Ojanguren) A norm for modules and algebras, Math. Z. 142 (1975), 33-45.

19. A Teichmüller cocycle for finite extensions, Preprint, 1975, 21 p.

20. (with M. Ojanguren und D. Saltman) On Brauer groups in characteristic p, Springer LN in Mathematics 549 (1976), 25-49.

21. (with F.R. De Meyer) The Brauer group of affine curve, Proc. Am. Math. Soc. 57 (1976), 227-232.

22. (with M. Ojanguren) Modules and quadratic forms over polynomial algebras, Proc. Am. Soc. 66 (1977), 223-226.

23. Formes quadratiques et algèbres d'Azumaya, C.R. du Colloque sur les formes quadratiques, Montpellier 1977,

Bull. Soc. Math. de France Mémoire 59 (1979), 95-100.

24. (with G. Mislin und U. Stammbach) Herausgabe von: Topology and Algebra, Proceedings of a Colloquium in Honor of B. Eckmann, 280 S., Monographie No 26, L'Enseignement Mathématique, 1978.

25. Modules quadratiques sur un anneau de polynômes in 24., 179-185.

26. (with M. Ojanguren and R. Sridharan) Quadratic forms and Azumaya algebras. J. reine und angew. Mathematik 303/304 (1978), 231-248.

27. (with R. Parimala) Quadratic forms and projective modules, 24 p., 1978, Preprint, Forschunsinstitut für Mathematik ETH.

28. (with R. Parimala) Quadratic forms associated with projective modules over quaternion algebras, J. Reine Angew. Math.318 (1980), 20-31. (=27)

29. (with M. Ojanguren) Cohomologie étale et groupe de Brauer, Springer LN 844 (Groupe de Brauer, Les Plans-sur-Bex, 1980), 210-228.

30. Christoffel und die Mathematik an der polytechnischen Schule Zürich, in : E.B. Christoffel, The Influence of his Work on mathematics and the Phisical Sciences, p. 33-41, Birkhäuser, 1981.

31. (with R. Parimala and R. Sridharan) Non-free projective modules over $H[x,y]$ and stable bundles over $P^{2}(C)$, Inventiones Math. 65 (1981), 13-27.

32. Quaternionic modules over $P^{2}(R)$, Proceedings of the Antwerp Conference on Brauer groups, Springer L.N. 917, 1982, 245-259.

33. Dedekind und das Polytechnikum in Zürich, Festband der Dedekind-Tagung 1981, Abh. der Braunschw.Wiss.Gesellschaft Bd.33 (to appear) (1982), 43-60.

34. Quaternionen über Polynomringe, quadratische Formen über $R[x,y]$ und Vektorbündel über $P^{2}(C)$, Festband der Dedekind-Tagung 1981 (siehe 32), 165-168.

35. (with M. Ojanguren and R. Parimala) Positive definite quadratic bundles over the projective plane, Comment. Math. Helvetici 57 (1982), 400-411.

36. (with W. Scharlau), Richard Dedekind, Vorlesung über Differential-und Integralrechnung 1861/62, Dokumente zur Geschichte der Mathematik Bd.1, Vieweg, 1985.

37. (with A. Paques) Quadratic spaces with trivial Arf invariant, J. of Algebra 93 (1985), 267-291.

38. Bundles on $P^{2}$ with a quaternion structure, Proceedings, International Colloquium on vector bundles, Bombay 1984, Oxford University Press, (1987), 225-250.

39. (with R. Parimala and R. Sridharan) On rank 4 quadratic spaces with given Arf and Witt invariants, Math. Ann. 274 (1986), 181-198.

40. (with M. Kneser, M. Ojanguren, R. Parimala and R. Sridharan) Composition of quaternary quadratic forms, Compositio Mathematica 69 (1986), 133-150.

41. (with G. Mislin and U. Stammbach) Selecta Beno Eckmann (Editors), Springer-Verlag, 1987

42. Quadratic spaces and central separable algebras over polynomial rings, Seminars in Mathematics 3, Campinas 1988, 86-99

43. Pfaffians and quadratic forms, Adv. of Math. 71 (1988), 1-20.

44. Quadratic forms, Clifford algebras and Spinors, Lecture notes, 136 pages, Seminars in Mathematics 1, Campinas, 1988

45. (with R. Parimala and R. Sridharan) A classification of rank 6 quadratic spaces via pfaffians, J. reine und angewandte Mathematik 398 (1989), 187-218

46. (with R. Parimala and V. Srinivas), Azumaya algebras with involutions, J. of Algebra 130 (1990), 65-82

47. (with R. Parimala and R. Sridharan) Pfaffians, central algebras and similitudes, Math. Z. 206 (1991), 589-604

48. (with M. Ojanguren) The Clifford algebra of a metabolic space, Archiv Math. 56 (1991), 440-445

49. (with A. Schofield) Aspects of the pfaffian, Comm. Algebra 19 (1991), 1959-1969

50. (with R. Parimala and R. Sridharan) Involutions on rank 16 central simple algebras, J. Indian Math. Soc. 57 (1991), 143-151

51. (with R. Parimala and R. Sridharan) On the discriminant of an involution, Bulletin Soc. Math. Belgique 43 (1991), 90-98

52. Quadratic and hermitians forms over rings, Springer-Verlag, 1991

53. Sur la forme d'Albert et le produit tensoriel de deux algèbres de quaternions, Bull.Soc. Math. Belg. 45 (1993), 333-337

54. A brief panorama of mathematics in Switzerland, The Zürich Intelligencer, Springer-Verlag, August 1994

55. Von Familien, Wunderkindern und Autodidakten, unizürich 2/94, 6-8

56. Wie 55, Bulletin, Magazin der ETH 254, Juni 1994, 4-7

57. Wie 55, Vermessung, Photogrammetrie, Kulturtechnik 8/94, 373-374

58. (with W. Bichsel) Quadratic forms with values in line bundles, Contemporary Mathematics 155 (1994), 293-306

59. (with R. Parimala and R. Sridharan) On compositions and triality, J. reine angew. Math. 457 (1994), 45-70

60. (with T.Y. Lam, D.B. Shapiro and J.-P. Tignol) Discriminants of involutions on biquaternion algebras, Proceedings of Symposia in Pure Mathematics 58.2 (1995), 279-303

61. (with D.E. Haile) On division algebras of degree 3 with involution, J. of Algebra 184 (1996), 1073-1081

62. (with D.E. Haile, M. Rost and J.-P. Tignol) Algebras of odd degree with involution, trace forms and dihedral extensions, Israel J. Math. 96 (1996), 299-340
postscript (394KB)

\item % 63 63. Au Poly? An der ETH?, Kleine Schriften, ETH Z\"urich, Januar 1997, 9 Seiten. 64. (with A. Paques) On cubic étale algebras, Abh. Math. Sem. Univ. Hamburg, 67 (1997), 281-295
postscript (223KB)

65. (with A. A. Merkurjev, M. Rost and J.-P. Tignol) The Book of Involutions Colloquium Publications Vol. 44,
American Mathematical Society, 1998, XXI + 593 pages

66. (with R. Parimala and R. Sridharan) On generic trialitarian algebras, Proceedings of the International Colloquium on Algebra and Geometry, Mumbai 2000, Naroda Publishing House, (2002), International Distribution by Amer. Math. Soc., 355-404
postscript (689KB)

66. (with O. Villa) On quadratic quaternion forms and triality, Documenta Math. Quadratic Forms LSU (2001), 201-218
postscript (383KB)

67. (with J.-P. Tignol) Quartic exercises, 49 p., 2003
postscript (588KB)