{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":23,"n_cols":5,"rows_kept":23,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[13,2,13,3],[14,2,14,3],[18,2,18,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910480392803321"]
[null,null,"Autore",null,"Gille Philippe <1968->"]
[null,null,"Titolo",null,"Torsors, reductive group schemes and extended affine lie algebras / / Philippe Gille, Arturo Pianzola"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2013"]
[{"$nulls":4},"©2013"]
[null,null,"ISBN",null,"1-4704-1063-X"]
[null,null,"Descrizione fisica",null,"1 online resource (124 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 226, Number 1063"]
[null,null,"Disciplina",null,"512/.482"]
[null,null,"Soggetti",null,"Kac-Moody algebras"]
[{"$nulls":4},"Linear algebraic groups"]
[{"$nulls":4},"Geometry, Algebraic"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 226, Number 1063 (fourth of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"4.2. Semilinear morphisms\"\"\"\"4.3. Case of affine schemes\"\"; \"\"4.4. Group functors\"\"; \"\"4.5. Semilinear version of a theorem of Borel-Mostow\"\"; \"\"4.6. Existence of maximal tori in loop groups\"\"; \"\"4.7. Variations of a result of Sansuc\"\"; \"\"Chapter 5. Maximal tori of group schemes over the punctured line\"\"; \"\"5.1. Twin buildings\"\"; \"\"5.2. Proof of Theorem 5.1\"\"; \"\"Chapter 6. Internal characterization of loop torsors and applications\"\"; \"\"6.1. Internal characterization of loop torsors\"\"; \"\"6.2. Applications to (algebraic) Laurent series\"\"; \"\"Chapter 7. Isotropy of loop torsors\"\""]
[{"$nulls":4},"\"\"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 "]
[{"$nulls":4},"semisimple   â€?loop adjoint groups\"\"; \"\"8.4. Action of     _{  }(â??)\"\"; \"\"Chapter 9. Small dimensions\"\"; \"\"9.1. The one-dimensional case\"\"; \"\"9.2. The two-dimensional case\"\"; \"\"Chapter 10. The case of orthogonal groups\"\"; \"\"Chapter 11. Groups of type   â??\"\"; \"\"Chapter 12. Case of groups of type   â??,   â?? and simply connected   â?? in nullity 3\"\""]
[{"$nulls":4},"\"\"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\"\""]