02598cam  2200409 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000230016208200170018510000370020224501300023926400700036930000370043933600210047633700250049733800230052249000740054550000680061950400410068750508520072850600500158053300950163053800360172558800470176165000240180865000290183265000250186170000380188677601590192485600430208385600620212617795365RPAM20170613145017.0m      b    000 0 cr/|||||||||||170613s2013    riu     ob    000 0 eng    a9781470410636 (online)  aDLCbengerdacDLCdRPAM00aQA252.3b.G55 201300a512/.4822231 aGille, Philippe,d1968-eauthor.10aTorsors, reductive group schemes and extended affine lie algebras /h[electronic resource] cPhilippe Gille, Arturo Pianzola. 1aProvidence, Rhode Island :bAmerican Mathematical Society,c2013.  a1 online resource (v, 112 pages)  atext2rdacontent  aunmediated2rdamedia  avolume2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1063  a"November 2013, volume 226, number 1063 (fourth of 5 numbers)."  aIncludes bibliographical references.00tChapter 1. IntroductiontChapter 2. Generalities on the algebraic fundamental group, torsors, and reductive group schemestChapter 3. Loop, finite and toral torsorstChapter 4. Semilinear considerationstChapter 5. Maximal tori of group schemes over the punctured linetChapter 6. Internal characterization of loop torsors and applicationstChapter 7. Isotropy of loop torsorstChapter 8. AcyclicitytChapter 9. Small dimensionstChapter 10. The case of orthogonal groupstChapter 11. Groups of type $G_2$tChapter 12. Case of groups of type $F_4$, $E_8$ and simply connected $E_7$ in nullity 3tChapter 13. The case of $\mathbf {PGL}_d$tChapter 14. Invariants attached to EALAs and multiloop algebrastChapter 15. Appendix 1: Pseudo-parabolic subgroup schemestChapter 16. Appendix 2: Global automorphisms of $G$-torsors over the projective line1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2013  aMode of access : World Wide Web  aDescription based on print version record. 0aKac-Moody algebras. 0aLinear algebraic groups. 0aGeometry, Algebraic.1 aPianzola, Arturo,d1955-eauthor.0 iPrint version: aGille, Philippe, 1968-tTorsors, reductive group schemes and extended affine lie algebras /w(DLC)   2013025512x0065-9266z97808218877454 3Contentsuhttp://www.ams.org/memo/10634 3Contentsuhttps://doi.org/10.1090/S0065-9266-2013-00679-X