Principal bundles on affine space and bundles on the projective line

1. Bruhat, F., Tits, J.: Groupes réductifs sur un corps local, I, II. Publ. Math.41, 5–251 (1972)

   Google Scholar 

2. Demazure, M., Grothendieck, A.: Schemas en groupes. IHES 1964

3. Grothendieck, A.: Eléments de Géometrie Algébriques. Publ. Math. IHES,11 (1961)

4. Grothendieck, A.: Sur la classification des fibrés holomorphes sur la sphere de Riemann. Am. J. Math.79, 121–138 (1956)

   Google Scholar 

5. Harder, G.: Halbeinfache Gruppenschemate über vollständigen Kurven. Invent. Math.6, 107–149 (1968)

   Google Scholar 

6. Knus, M., Ojanguren, M., Saltman, D.J.: in Brauer Groups (Evanston), pp. 25–29. Berlin, Heidelberg, New York: Springer 1975

   Google Scholar 

7. Knebusch, M.: Grothendieck und Wittringe, von nicht-ansgearteten symmetrischen Bilinearformen. Sitzungsber, d. Heidelb. Akad. Wiss. Math. Naturewiss. Kl.3, 90–157 (1970)

   Google Scholar 

8. Lang, S.: Algebraic groups over finite fields. Am. J. Math.78, 555–563 (1956)

   Google Scholar 

9. Ojanguren, M.: Formes quadratiques sur les algèbres de polynômes. C.R. Acad. Sci. Ser. A287, 695–698 (1978)

   Google Scholar 

10. Ojanguren, M., Sridharan, R.: Cancellation of Azumaya algebras. J. Alg.18, 501–505 (1971)

    Google Scholar 

11. Parimala, S.: Failure of a quadratic analogue of Serre's conjecture. Am. J. Math.100, 913–924 (1978)

    Google Scholar 

12. Parimala, R.: Indecomposable Quadratic spaces over the affine plane. Adv. Math.62, 1–6 (1986)

    Google Scholar 

13. Parimala, S., Sridharan, R.: Projective modules over polynomial rings over division rings. J. Math Kyoto Univ.15, 129–148 (1975)

    Google Scholar 

14. Prasad, G.: Elementary proof of a theorem of Bruhat-Tits and Rousseau and of a theorem of Tits, Bull Soc. Math. Fr.110, 197–202 (1982)

    Google Scholar 

15. Raghunathan, M.S.: Principal bundles on affine space, in: Ramanujan C.P. (ed.) A tribute. Studies of Mathematics, Bombay, TIFR8, 1978

    Google Scholar 

16. Raghunathan M.S., Ramanathan, A.: Principal bundles on the affine line. Proc. Ind. Acad. Sci.93, 137–145 (1984)

    Google Scholar 

17. Ramanathan, A.: Deformations of principal bundles on the projective line. Invent. Math.71, 165–191 (1983)

    Google Scholar 

18. Tits, J.: Algebraic and abstract simple groups. Ann Math.80, 313–329 (1964)

    Google Scholar 

19. Tits, J.: Classification of semisimple algebraic groups, algebraic groups. Proc. Symp. Pure Math. Amer. Math. Soc. (1966)

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