03036nam 2200613 450 991048094870332120180613001303.01-4704-0345-5(CKB)3360000000464936(EBL)3114526(SSID)ssj0000973215(PQKBManifestationID)11582509(PQKBTitleCode)TC0000973215(PQKBWorkID)10959357(PQKB)10206021(MiAaPQ)EBC3114526(PPN)195416384(EXLCZ)99336000000046493620020226h20022002 uy| 0engur|n|---|||||txtccrHomogeneous spaces, Tits buildings, and isoparametric hypersurfaces /Linus KramerProvidence, Rhode Island :American Mathematical Society,[2002]©20021 online resource (137 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 752"Volume 158, number 752 (third of 4 numbers)."0-8218-2906-8 Includes bibliographical references (pages 110-114).""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 â€? 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 â€? 5)- and the (3, 4n â€? 4)-series""; ""8.F. Summary""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 752.Buildings (Group theory)Global differential geometryFinite generalized quadranglesHomogeneous spacesElectronic books.Buildings (Group theory)Global differential geometry.Finite generalized quadrangles.Homogeneous spaces.510 s512/.2Kramer Linus1964-928832MiAaPQMiAaPQMiAaPQBOOK9910480948703321Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces2087512UNINA