Gille, Philippe, 1968-
Torsors, reductive group schemes and extended affine lie algebras / [electronic resource] Philippe Gille, Arturo Pianzola. - Providence, Rhode Island : American Mathematical Society, 2013. - 1 online resource (v, 112 pages) - Memoirs of the American Mathematical Society, v. 1063 0065-9266 (print); 1947-6221 (online); .
"November 2013, volume 226, number 1063 (fourth of 5 numbers)."
Includes bibliographical references.
Chapter 1. Introduction Chapter 2. Generalities on the algebraic fundamental group, torsors, and reductive group schemes Chapter 3. Loop, finite and toral torsors Chapter 4. Semilinear considerations Chapter 5. Maximal tori of group schemes over the punctured line Chapter 6. Internal characterization of loop torsors and applications Chapter 7. Isotropy of loop torsors Chapter 8. Acyclicity Chapter 9. Small dimensions Chapter 10. The case of orthogonal groups Chapter 11. Groups of type $G_2$ Chapter 12. Case of groups of type $F_4$, $E_8$ and simply connected $E_7$ in nullity 3 Chapter 13. The case of $\mathbf _d$ Chapter 14. Invariants attached to EALAs and multiloop algebras Chapter 15. Appendix 1: Pseudo-parabolic subgroup schemes Chapter 16. Appendix 2: Global automorphisms of $G$-torsors over the projective line
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9781470410636 (online)
Kac-Moody algebras.
Linear algebraic groups.
Geometry, Algebraic.
QA252.3 / .G55 2013
512/.482
Torsors, reductive group schemes and extended affine lie algebras / [electronic resource] Philippe Gille, Arturo Pianzola. - Providence, Rhode Island : American Mathematical Society, 2013. - 1 online resource (v, 112 pages) - Memoirs of the American Mathematical Society, v. 1063 0065-9266 (print); 1947-6221 (online); .
"November 2013, volume 226, number 1063 (fourth of 5 numbers)."
Includes bibliographical references.
Chapter 1. Introduction Chapter 2. Generalities on the algebraic fundamental group, torsors, and reductive group schemes Chapter 3. Loop, finite and toral torsors Chapter 4. Semilinear considerations Chapter 5. Maximal tori of group schemes over the punctured line Chapter 6. Internal characterization of loop torsors and applications Chapter 7. Isotropy of loop torsors Chapter 8. Acyclicity Chapter 9. Small dimensions Chapter 10. The case of orthogonal groups Chapter 11. Groups of type $G_2$ Chapter 12. Case of groups of type $F_4$, $E_8$ and simply connected $E_7$ in nullity 3 Chapter 13. The case of $\mathbf _d$ Chapter 14. Invariants attached to EALAs and multiloop algebras Chapter 15. Appendix 1: Pseudo-parabolic subgroup schemes Chapter 16. Appendix 2: Global automorphisms of $G$-torsors over the projective line
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9781470410636 (online)
Kac-Moody algebras.
Linear algebraic groups.
Geometry, Algebraic.
QA252.3 / .G55 2013
512/.482