{"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":20,"n_cols":5,"rows_kept":20,"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],[4,2,4,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[10,2,10,3],[14,2,14,3],[15,2,15,3],[17,2,17,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910392720403321"]
[null,null,"Autore",null,"Gille Philippe <1968->"]
[null,null,"Titolo",null,"Groupes algébriques semi-simples en dimension cohomologique ≤2 : Semisimple algebraic groups in cohomological dimension ≤2 / / by Philippe Gille"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019"]
[null,null,"ISBN",null,"3-030-17272-4"]
[null,null,"Edizione",null,"[1st ed. 2019.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XXII, 169 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 1617-9692 ; ; 2238"]
[null,null,"Disciplina",null,"512.2"]
[{"$nulls":4},"512.55"]
[null,null,"Soggetti",null,"Group theory"]
[{"$nulls":4},"Algebra, Universal"]
[{"$nulls":4},"Group Theory and Generalizations"]
[{"$nulls":4},"General Algebraic Systems"]
[null,null,"Lingua di pubblicazione",null,"Francese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Préface -- 1 Généralités -- 2 Groupes réductifs -- 3 Sous-groupes des groupes algébriques, déploiement -- 4 Dimension cohomologique séparable -- 5 Tores algébriques, Conjecture I et groupes de normes -- 6 Conjecture II, le cas quasi–déployé -- 7 Groupes classiques -- 8 Groupes exceptionnels -- 9 Applications -- Appendice : Indices de Tits -- Bibliographie -- Index."]
[null,null,null,"Sommario/riassunto","La théorie des groupes algébriques sur un corps arbitraire est l’une des branches les plus merveilleuses des mathématiques modernes. Cette monographie porte sur les groupes algébriques semi-simples définis sur un corps k de dimension cohomologique séparable <=2 et la cohomologie galoisienne d’iceux. La question ouverte la plus importante est la conjecture II de Serre (1962) qui prédit l’annulation de la cohomologie galoisienne d’un groupe semi-simple simplement connexe. Utilisant principalement des techniques de groupes algébriques, on couvre tous les cas connus de la conjecture: les cas classiques (dus à Bayer-Fluckiger and Parimala) ainsi que les avancées sur les cas exceptionnels restants (par exemple de type E8). Ceci s’applique à la classification des groupes semi-simples. The theory of algebraic groups over arbitrary fields is one of the most beautiful branches of modern mathematics. This monograph deals with "]
[{"$nulls":4},"semisimple algebraic groups over a general field k of separable cohomological dimension ^rimala), and some perspectives are given on the remaining exceptional cases (e.g., G of type E8). Applications to the classification of semisimple k-groups are presented."]