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1. |
Record Nr. |
UNINA9910480939903321 |
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Autore |
Borel Armand |
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Titolo |
Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2002] |
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©2002 |
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ISBN |
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Descrizione fisica |
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1 online resource (153 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 747 |
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Disciplina |
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Soggetti |
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Lie groups |
Compact groups |
Root systems (Algebra) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 157, number 747 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""1.1. Preliminaries""; ""1.2. The case of commuting pairs in a simply connected group""; ""1.3. c-pairs""; ""1.4. Commuting triples""; ""1.5. C-triples""; ""1.6. Quotients of diagram automorphisms""; ""1.7. Description of S(k) and S[sup(Ï?c)](g,k)""; ""1.8. Chern-Simons invariants and Witten's ""Clockwise Symmetry Conjecture""""; ""1.9. Outline of the paper""; ""1.10. History""; ""Chapter 2. Almost commuting N-tuples""; ""2.1. An invariant for almost commuting N-tuples""; ""2.2. The case of rank zero""; ""2.3. The case of arbitrary rank"" |
""Chapter 3. Some characterizations of groups of type A""""3.1. Generalities on subroot systems""; ""3.2. Action of CG on an alcove""; ""3.3. A first characterization of groups of type A""; ""3.4. Subgroups associated with elements of the center""; ""3.5. A further characterization of products of groups of type A""; ""3.6. A consequence of Proposition 3.5.1""; ""3.7. Application to generalized Cartan matrices and affine diagrams""; ""3.8. Numerology of clockwise symmetry""; ""Chapter 4. c-pairs""; ""4.1. The rank zero case""; ""4.2. |
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The general case""; ""Chapter 5. Commuting triples"" |
""5.1. Commuting triples of rank zero""""5.2. A list of all simple groups with rank zero commuting triples""; ""5.3. Action of the outer automorphism group of G""; ""5.4. Action of the center of G""; ""5.5. The general case""; ""Chapter 6. Some results on diagram automorphisms and associated root systems""; ""6.1. A chamber structure and a Coxeter group on the fixed subspace""; ""6.2. The restricted root system and the projection root system""; ""6.3. Generalized Cartan matrices for Î?[sup(res)](l) and Î?[sup(proj)](l)[sup(v)]""; ""6.4. The case of an outer automorphism"" |
""6.5. Further results under an additional hypothesis""""6.6. The case of a subgroup of CÎ?""; ""6.7. Proof of Theorem 1.6.2""; ""Chapter 7. The fixed subgroup of an automorphism""; ""7.1. A first description of the component group""; ""7.2. Special automorphisms""; ""7.3. A complete description of the component group""; ""7.4. The roots of H[sup(Ï?)]""; ""7.5. The case of c-pairs""; ""7.6. Variation of Ï€[sub(0)](Z(x,y)) as x varies""; ""Chapter 8. C-triples""; ""8.1. c-triples of rank zero""; ""8.2. The maximal torus of a c-triple of order k""; ""8.3. The number of components"" |
""10.2. Flat connections and the Chern-Simons invariant"" |
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2. |
Record Nr. |
UNINA9910783141303321 |
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Autore |
Dedrick Jason |
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Titolo |
Asia's computer challenge [[electronic resource] ] : threat or opportunity for the United States & the world? / / Jason Dedrick, Kenneth L. Kraemer |
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Pubbl/distr/stampa |
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New York, : Oxford University Press, c1998 |
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ISBN |
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0-19-770250-3 |
1-280-65498-8 |
0-19-535280-7 |
1-4294-0032-3 |
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Descrizione fisica |
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1 online resource (383 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Competition, International |
Computer industry - East Asia |
Computer industry - Japan |
Computer industry - United States |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 343-351) and index. |
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Nota di contenuto |
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Contents; List of Figures; List of Tables; 1. Competing in Computers; 2. Globalization of the Computer Industry; 3. Japan and the PC Revolution; 4. Asia's New Competitors: Korea and Taiwan; 5. Asia's New Competitors: Singapore and Hong Kong; 6. Findings from the East Asian Experience; 7. Lessons for Companies and Countries; 8. Competing in Computers in the Network Era; Appendix; Notes; References; Index |
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Sommario/riassunto |
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List of Figures. List of Tables. 1. Competing in Computers. 2. Globalization of the Computer Industry. 3. Japan and the PC Revolution. 4. Asia's New Competitors: Korea and Taiwan. 5. Asia's New Competitors: Singapore and Hong Kong. 6. Findings from the East Asian Experience. 7. Lessons for Companies and Countries. 8. Competing Computers in the Network Era. Appendix. Notes. Reference. Index |
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