158
Bibliographie
15. G. Berhuy, C. Frings, J.-P. Tignol, Galois cohomology of the classical groups over imperfect
fields. J. Pure Appl. Algebra 211, 307–341 (2007)
16. N. Bhaskhar, On Serre’s injectivity question and norm principle. Comment. Math. Helv. 91,
145–161 (2016)
17. J. Black, Zero cycles of degree one on principal homogeneous spaces. J. Algebra 334, 232–
246 (2011)
18. S. Bloch, K. Kato, p-adic étale cohomology. Publ. Math. l’I.H.É.S. 63, 107–152 (1986)
19. A. Borel, Linear Algebraic Groups. Graduate Texts in Mathematics, vol. 126, 2nd edn.
(Springer, New York, 1991)
20. A. Borel, J. De Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie
clos. Comment. Math. Helv. 23, 200–221 (1949)
21. A. Borel, T.A. Springer, Rationality properties of linear algebraic group II. Tôhoku Math. J.
20, 443–497 (1968)
22. A. Borel, J. Tits, Groupes réductifs. Publ. Math. IHES 27, 55–151 (1965)
23. A. Borel, J. Tits, Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I.
Invent. Math. 12, 95–104 (1971)
24. S. Bosch, W. Lütkebohmert, M. Raynaud, Néron Models (Springer, Berlin, 1990)
25. N. Bourbaki, Algèbre Commutative, Chaps. 1–4 (Springer, Berlin, 2006)
26. N. Bourbaki, Algèbre Commutative, Chaps. 5–7 (Springer, Berlin, 2006)
27. N. Bourbaki, Algèbre Commutative, Chaps. 7–8 (Springer, Berlin, 2006)
28. N. Bourbaki, Groupes et algèbres de Lie, Chaps. 4–6 (Springer, Berlin, 2006)
29. R. Brauer, On normal division algebras of degree 5. Proc. Natl. Acad. Sci. 24, 243–246 (1938)
30. F. Bruhat, J. Tits, Groupes réductifs sur un corps local. I. Inst. Hautes Etudes Sci. Publ. Math.
41, 5–251 (1972)
31. F. Bruhat, J. Tits, Groupes algébriques sur un corps local II. Existence d’une donnée radicielle
valuée. Publ. Math. IHES 60, 5–184 (1984)
32. F. Bruhat, J. Tits, Groupes algébriques sur un corps local III. Compléments et application à la
cohomologie galoisienne. J. Fac. Sci. Univ. Tokyo 34, 671–698 (1987)
33. B. Calmès, J. Fasel, Groupes classiques, in Autour des schémas en groupes, vol II. Panoramas
et Synthèses, vol. 46 (Société Mathématique de France, Paris, 2015), pp. 1–133
34. R.W. Carter, Conjugacy classes in the Weyl group. Compos. Math. 25, 1–59 (1972)
35. A. Chapman, Chain equivalences for symplectic bases, quadratic forms and tensor products
of quaternion algebras. J. Algebra Appl. 14, 9 (2015)
36. V. Chernousov, The Hasse principle for groups of type E 8 . Dokl. Akad. Nauk. SSSR 306,
1059–1063 (1989). English transl. in Math. USSR-Izv. 34, 409–423 (1990)
37. V. Chernousov, Remark on the Serre mod 5 invariant for groups of type E 8 . Math. Zametki
56, 116–121 (1994). Traduction anglaise: Math Note 56, 730–733 (1994)
38. V. Chernousov, The kernel of the Rost invariant, Serre’s Conjecture II and the Hasse principle
for quasi-split groups. Math. Ann. 326, 297–330 (2003)
39. V. Chernousov, V. Platonov, The rationality problem for semisimple group varieties. J. Reine
Angew. Math. 504, 1–28 (1998)
40. V. Chernousov, P. Gille, Z. Reichstein, Resolution of torsors by abelian extensions. J. Algebra
296, 561–581 (2006)
41. V. Chernousov, P. Gille, A. Pianzola, Torsors over the punctured affine line. Am. J. Math. 134,
1541–1583 (2012)
42. J.-L. Colliot-Thélène, Résolutions flasques des groupes linéaires connexes. J. Reine Angew.
Math. 618, 77–133 (2008)
Bibliographie
15. G. Berhuy, C. Frings, J.-P. Tignol, Galois cohomology of the classical groups over imperfect
fields. J. Pure Appl. Algebra 211, 307–341 (2007)
16. N. Bhaskhar, On Serre’s injectivity question and norm principle. Comment. Math. Helv. 91,
145–161 (2016)
17. J. Black, Zero cycles of degree one on principal homogeneous spaces. J. Algebra 334, 232–
246 (2011)
18. S. Bloch, K. Kato, p-adic étale cohomology. Publ. Math. l’I.H.É.S. 63, 107–152 (1986)
19. A. Borel, Linear Algebraic Groups. Graduate Texts in Mathematics, vol. 126, 2nd edn.
(Springer, New York, 1991)
20. A. Borel, J. De Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie
clos. Comment. Math. Helv. 23, 200–221 (1949)
21. A. Borel, T.A. Springer, Rationality properties of linear algebraic group II. Tôhoku Math. J.
20, 443–497 (1968)
22. A. Borel, J. Tits, Groupes réductifs. Publ. Math. IHES 27, 55–151 (1965)
23. A. Borel, J. Tits, Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I.
Invent. Math. 12, 95–104 (1971)
24. S. Bosch, W. Lütkebohmert, M. Raynaud, Néron Models (Springer, Berlin, 1990)
25. N. Bourbaki, Algèbre Commutative, Chaps. 1–4 (Springer, Berlin, 2006)
26. N. Bourbaki, Algèbre Commutative, Chaps. 5–7 (Springer, Berlin, 2006)
27. N. Bourbaki, Algèbre Commutative, Chaps. 7–8 (Springer, Berlin, 2006)
28. N. Bourbaki, Groupes et algèbres de Lie, Chaps. 4–6 (Springer, Berlin, 2006)
29. R. Brauer, On normal division algebras of degree 5. Proc. Natl. Acad. Sci. 24, 243–246 (1938)
30. F. Bruhat, J. Tits, Groupes réductifs sur un corps local. I. Inst. Hautes Etudes Sci. Publ. Math.
41, 5–251 (1972)
31. F. Bruhat, J. Tits, Groupes algébriques sur un corps local II. Existence d’une donnée radicielle
valuée. Publ. Math. IHES 60, 5–184 (1984)
32. F. Bruhat, J. Tits, Groupes algébriques sur un corps local III. Compléments et application à la
cohomologie galoisienne. J. Fac. Sci. Univ. Tokyo 34, 671–698 (1987)
33. B. Calmès, J. Fasel, Groupes classiques, in Autour des schémas en groupes, vol II. Panoramas
et Synthèses, vol. 46 (Société Mathématique de France, Paris, 2015), pp. 1–133
34. R.W. Carter, Conjugacy classes in the Weyl group. Compos. Math. 25, 1–59 (1972)
35. A. Chapman, Chain equivalences for symplectic bases, quadratic forms and tensor products
of quaternion algebras. J. Algebra Appl. 14, 9 (2015)
36. V. Chernousov, The Hasse principle for groups of type E 8 . Dokl. Akad. Nauk. SSSR 306,
1059–1063 (1989). English transl. in Math. USSR-Izv. 34, 409–423 (1990)
37. V. Chernousov, Remark on the Serre mod 5 invariant for groups of type E 8 . Math. Zametki
56, 116–121 (1994). Traduction anglaise: Math Note 56, 730–733 (1994)
38. V. Chernousov, The kernel of the Rost invariant, Serre’s Conjecture II and the Hasse principle
for quasi-split groups. Math. Ann. 326, 297–330 (2003)
39. V. Chernousov, V. Platonov, The rationality problem for semisimple group varieties. J. Reine
Angew. Math. 504, 1–28 (1998)
40. V. Chernousov, P. Gille, Z. Reichstein, Resolution of torsors by abelian extensions. J. Algebra
296, 561–581 (2006)
41. V. Chernousov, P. Gille, A. Pianzola, Torsors over the punctured affine line. Am. J. Math. 134,
1541–1583 (2012)
42. J.-L. Colliot-Thélène, Résolutions flasques des groupes linéaires connexes. J. Reine Angew.
Math. 618, 77–133 (2008)