{"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":27,"n_cols":5,"rows_kept":27,"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],[10,2,10,3],[16,2,16,3],[17,2,17,3],[21,2,21,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910827763403321"]
[null,null,"Autore",null,"Kapovich Michael <1963->"]
[null,null,"Titolo",null,"The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2008]"]
[{"$nulls":4},"©2008"]
[null,null,"ISBN",null,"1-4704-0502-4"]
[null,null,"Descrizione fisica",null,"1 online resource (98 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 896"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"512/.482"]
[null,null,"Soggetti",null,"Semisimple Lie groups"]
[{"$nulls":4},"Linear algebraic groups"]
[{"$nulls":4},"Geometric group theory"]
[{"$nulls":4},"Lorentz groups"]
[{"$nulls":4},"Symmetric spaces"]
[{"$nulls":4},"Rings (Algebra)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages 82-83)."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 1. Introduction\"\"; \"\"Chapter 2. Roots and Coxeter Groups\"\"; \"\"2.1. Split tori over F\"\"; \"\"2.2. Roots, coroots and the Langlands' dual\"\"; \"\"2.3. Coxeter groups\"\"; \"\"Chapter 3. The First Three Algebra Problems and the Parameter Spaces â?? for K\\G/K\"\"; \"\"3.1. The generalized eigenvalues of a sum problem Q1 and the parameter space â?? of k-double cosets\"\"; \"\"3.2. The generalized singular values of a product and the parameter space â?? of K-double cosets\"\"; \"\"3.3. The generalized invariant factor problem and the parameter space â?? of K-double cosets\"\""]
[{"$nulls":4},"\"\"3.4. Comparison of the parameter spaces for the four algebra problems\"\"\"\"3.5. Linear algebra problems\"\"; \"\"Chapter 4. The existence of polygonal linkages and solutions to the algebra problems\"\"; \"\"4.1. Setting up the general geometry problem\"\"; \"\"4.2. Geometries modeled on Coxeter complexes\"\"; \"\"4.3. Bruhat-Tits buildings associated with nonarchimedean reductive Lie groups\"\"; \"\"4.4. Geodesic polygons\"\"; \"\"Chapter 5. Weighted Configurations, Stability and the Relation to Polygons\"\"; \"\"5.1. Gauss maps and associated dynamical systems\"\"; "]
[{"$nulls":4},"\"\"5.2. The polyhedron D[sub(n)](X)\"\""]
[{"$nulls":4},"\"\"5.3. The polyhedron for the root system B[sub(2)]\"\"\"\"Chapter 6. Polygons in Euclidean Buildings and the Generalized Invariant Factor Problem\"\"; \"\"6.1. Folding polygons into apartments\"\"; \"\"6.2. A Solution of Problem Q2 is not necessarily a solution of Problem Q3\"\"; \"\"Chapter 7. The Existence of Fixed Vertices in Buildings and Computation of the Saturation Factors for Reductive Groups\"\"; \"\"7.1. The saturation factors associated to a root system\"\"; \"\"7.2. The existence of fixed vertices\"\"; \"\"7.3. Saturation factors for reductive groups\"\"; \"\"Chapter 8. The Comparison of Problems Q3 and Q4\"\""]
[{"$nulls":4},"\"\"8.1. The Hecke ring\"\"\"\"8.2. A geometric interpretation of m[sub(Î±,Î²,Î³)](0)\"\"; \"\"8.3. The Satake transform\"\"; \"\"8.4. A solution of Problem Q4 is a solution of Problem Q3\"\"; \"\"8.5. A Solution of Problem Q3 is not necessarily a solution of Problem Q4\"\"; \"\"8.6. The saturation theorem for GL(l)\"\"; \"\"8.7. Computations for the root systems B[sub(2)] and G[sub(2)] \"\"; \"\"Appendix A. Decomposition of Tensor Products and Mumford Quotients of Products of Coadjoint orbits\"\"; \"\"A. l. The existence of semistable triples and nonzero invariant vectorsin triple tensor products\"\""]
[{"$nulls":4},"\"\"A. 2. The semigroups of solutions to Problems Q1 and Q4\"\"\"\"Bibliography\"\""]