]. A. Al and . Albert, Non-Associative Algebras. I. Fundamental Concepts and Isotopy, Ann. of Math, vol.43, issue.2, pp.685-707, 1942.

]. S. An and . Anantharaman, Schémas en groupes, espaces homogènes et espaces algébriques sur une base de dimension 1, Mémoires de la Société Mathématique de France, pp.33-38, 1973.

. A. Ahw, M. Asok, M. Hoyois, and . Wendt, Generically split octonion algebras and A 1 -homotopy theory, preprint, 2017.

R. Bix, Isomorphism theorems for octonion planes over local rings, Transactions of the American Mathematical Society, vol.266, issue.2, pp.423-439, 1981.
DOI : 10.1090/S0002-9947-1981-0617543-0

[. Colliotthéì-ene and J. Sansuc, Fibr???s quadratiques et composantes connexes r???elles, Mathematische Annalen, vol.26, issue.294, pp.105-134, 1979.
DOI : 10.1007/BF01420486

]. B. Co and . Conrad, Reductive group schemes, Autour des schémas en groupes, pp.42-43, 2014.

. A. Egaiv and . Grothendieck, Eléments de Géométrie Algébrique IV, Publications mathématiques de l'I, J. Dieudonné), vol.20, issue.24, pp.28-32, 1964.

A. Elduque, On triality and automorphisms and derivations of composition algebras, Linear Algebra and its Applications, vol.314, issue.1-3, pp.49-74, 2000.
DOI : 10.1016/S0024-3795(00)00105-1
URL : https://doi.org/10.1016/s0024-3795(00)00105-1

W. Fulton, Intersection Theory

]. S. Ga and . Garibaldi, Cohomological invariants: exceptional groups and spin groups Memoirs of the, p.937, 2009.

P. Gille, Spécialisation de la R-´ equivalence pour les groupes réductifs, Trans. Amer. Math. Soc, vol.35, pp.4465-4474, 2004.

P. Gille, Octonion Algebras over Rings are not Determined by their Norms, Bulletin canadien de math??matiques, vol.57, issue.2, pp.303-309, 2014.
DOI : 10.4153/CMB-2012-044-7
URL : https://hal.archives-ouvertes.fr/hal-00741666

P. Gille, Sur la classification des schémas en groupes semi-simples Autour des schémas en groupes, III, Panoramas et Synthèses, vol.47, pp.39-110, 2015.

. P. Gp, A. Gille, and . Pianzola, Torsors, reductive group schemes and extended affine Lie algebras, Memoirs of AMS, p.1063, 2013.

]. F. Ha and . Harvey, Spinors and Calibrations, 1990.

J. E. Humphreys, Modular Representations of Finite Groups of Lie Type, 2005.
DOI : 10.1017/CBO9780511525940

M. Knus, Quadratic and Hermitian Forms over Rings, Grundlehren der mathematischen Wissenschaften, 1991.

[. Knus, R. Parimala, and R. Sridharan, Composition and triality, J. reine angew. Math, vol.457, pp.45-70, 1994.
DOI : 10.1090/coll/044/08

M. Knus, A. Merkurjev, M. Rost, and J. Tignol, The Book of Involutions, 1998.
DOI : 10.1090/coll/044

. [. Jacobson, Some groups of transformations defined by Jordan algebras, II. Groups of type F4, J. reine angew. Math, vol.204, pp.74-98, 1960.
DOI : 10.1007/978-1-4612-3694-8_28

. O. Lpr, H. P. Loos, M. L. Petersson, and . Racine, Inner derivations of alternative algebras over commutative rings, Algebra and Number Theory, vol.2, pp.927-968, 2008.

]. R. Ma and . Marlin, Anneaux de Chow des groupes algébriques SO(n), Spin(n), G 2 et F 4, Publ. Math. Orsay, pp.95-7419, 1974.

]. K. Mcc and . Mccrimmon, Homotopes of Alternative Algebras, Math. Ann, vol.191, pp.253-262, 1971.

M. Mimura, Homotopy theory of Lie groups, Handbook of algebraic topology, North-Holland, pp.951-991, 1995.

]. R. Pa and . Parimala, Quadratic spaces over Laurent extensions of Dedekind domains, Trans. Amer. Math. Soc, vol.277, pp.569-578, 1983.

H. P. Petersson, Composition algebras over algebraic curves of genus zero, Transactions of the American Mathematical Society, vol.337, issue.1, pp.473-493, 1993.
DOI : 10.1090/S0002-9947-1993-1108613-X
URL : http://www.fernuni-hagen.de/MATHEMATIK/ALGGEO/Petersson/Separata/CURVES.pdf

H. P. Petersson, The structure group of an alternative algebra, Abhandlungen aus dem Mathematischen Seminar der Universit??t Hamburg, vol.337, issue.1, pp.165-186, 2002.
DOI : 10.2140/pjm.1985.116.85

]. S. Pu and . Pumplün, Composition algebras over Laurent polynomials, Comm. Algebra, vol.25, pp.229-233, 1997.

. A. Sv-]-t, F. D. Springer, and . Veldkamp, Octonion Algebras, Jordan Algebras and Exceptional Groups, 2000.

R. G. Swan, Projective modules over Laurent polynomial rings, Transactions of the American Mathematical Society, vol.237, pp.111-120, 1978.
DOI : 10.1090/S0002-9947-1978-0469906-4