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|a COO
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|e pn
|c COO
|d EBLCP
|d OCLCQ
|d DEBSZ
|d OCLCQ
|d LOA
|d OCLCO
|d OCLCF
|d K6U
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCO
|d OCLCL
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|a 922981500
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|a 9781470410636
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|a 147041063X
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|a (OCoLC)863088248
|z (OCoLC)922981500
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|a QA252.3
|b G55 2013eb
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|a HCDD
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|a Gille, Philippe.
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|a Torsors, reductive group schemes and extended affine lie algebras /
|c Gille, Philippe.
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|a [Place of publication not identified] :
|b [publisher not identified]
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|a 1 online resource
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Memoirs of the American Mathematical Society ;
|v v. 226
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|a Title from content provider.
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|a Contents -- Chapter 1. Introduction -- Chapter 2. Generalities on the algebraic fundamental group, torsors, and reductive group schemes -- 2.1. The fundamental group -- 2.2. Torsors -- 2.3. An example: Laurent polynomials in characteristic 0 -- 2.4. Reductive group schemes: Irreducibility and isotropy -- Chapter 3. Loop, finite and toral torsors -- 3.1. Loop torsors -- 3.2. Loop reductive groups -- 3.3. Loop torsors at a rational base point -- 3.4. Finite torsors -- 3.5. Toral torsors -- Chapter 4. Semilinear considerations -- 4.1. Semilinear morphisms
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|a 4.2. Semilinear morphisms4.3. Case of affine schemes -- 4.4. Group functors -- 4.5. Semilinear version of a theorem of Borel-Mostow -- 4.6. Existence of maximal tori in loop groups -- 4.7. Variations of a result of Sansuc -- Chapter 5. Maximal tori of group schemes over the punctured line -- 5.1. Twin buildings -- 5.2. Proof of Theorem 5.1 -- Chapter 6. Internal characterization of loop torsors and applications -- 6.1. Internal characterization of loop torsors -- 6.2. Applications to (algebraic) Laurent series -- Chapter 7. Isotropy of loop torsors
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|a ""7.1. Fixed point statements""""7.2. Case of flag varieties""; ""7.3. Anisotropic loop torsors""; ""Chapter 8. Acyclicity""; ""8.1. The proof""; ""8.2. Application: Witt-Tits decomposition""; ""8.3. Classification of semisimple â€?loop adjoint groups""; ""8.4. Action of _{ }(â??)""; ""Chapter 9. Small dimensions""; ""9.1. The one-dimensional case""; ""9.2. The two-dimensional case""; ""Chapter 10. The case of orthogonal groups""; ""Chapter 11. Groups of type â??""; ""Chapter 12. Case of groups of type â??, â?? and simply connected â?? in nullity 3""
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|a ""Chapter 13. The case of _{ }""""13.1. Loop Azumaya algebras""; ""13.2. The one-dimensional case""; ""13.3. The geometric case""; ""13.4. Loop algebras of inner type ""; ""Chapter 14. Invariants attached to EALAs and multiloop algebras""; ""Chapter 15. Appendix 1: Pseudo-parabolic subgroup schemes""; ""15.1. The case of _{, â??}""; ""15.2. The general case""; ""Chapter 16. Appendix 2: Global automorphisms of â€?torsors over the projective line""; ""Bibliography""
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|a Kac-Moody algebras.
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|a Linear algebraic groups.
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|a Geometry, Algebraic.
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| 650 |
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|a Geometry, Algebraic
|2 fast
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| 650 |
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7 |
|a Kac-Moody algebras
|2 fast
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| 650 |
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7 |
|a Linear algebraic groups
|2 fast
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| 700 |
1 |
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|a Pianzola, Arturo.
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| 758 |
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|i has work:
|a Torsors, reductive group schemes and extended affine lie algebras (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCH7jwv6r74H8b34qfw3b3P
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
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|i Print version:
|a Gille, Philippe.
|t Torsors, Reductive Group Schemes and Extended Affine Lie Algebras.
|d Providence : American Mathematical Society, ©1900
|z 9780821887745
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| 830 |
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|a Memoirs of the American Mathematical Society.
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| 856 |
4 |
0 |
|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3114045
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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