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Record Nr. |
UNINA9910480948703321 |
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Autore |
Kramer Linus <1964-> |
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Titolo |
Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces / / Linus Kramer |
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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 (137 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 752 |
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Disciplina |
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Soggetti |
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Buildings (Group theory) |
Global differential geometry |
Finite generalized quadrangles |
Homogeneous spaces |
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 158, number 752 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 110-114). |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""Chapter 1. The Leray-Serre spectral sequence""; ""1.A. Additive structure""; ""1.B. Multiplicative structure""; ""1.C. Notes on collapsing""; ""Chapter 2. Ranks of homotopy groups""; ""2.A. The Whitehead tower""; ""2.B. The Cartan-Serre Theorem""; ""Chapter 3. Some homogeneous spaces""; ""3.A. Structure of compact Lie groups""; ""3.B. Certain homogeneous spaces""; ""3.C. The integral classification""; ""Chapter 4. Representations of compact Lie groups""; ""4.A. The classification of irreducible representations""; ""4.B. Subgroups of classical groups"" |
""7.C. Some results about compact transformation groups""""7.D. Group actions on compact quadrangles""; ""7.E. The Stiefel manifolds""; ""7.F. The (4,4n � 5)-series""; ""7.G. Products of spheres""; ""7.H. Summary""; ""Chapter 8. Homogeneous focal manifolds""; ""8.A. Isoparametric hypersurfaces""; ""8.B. The Stiefel manifolds""; ""8.C. Some sporadic cases""; ""8.D. The semisimple case""; ""8.E. The (4,4n � 5)- and the (3, 4n � 4)-series""; ""8.F. Summary""; ""Bibliography"" |
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