000 02148nam a2200349| 4500
001 82839
005 20200519165106.0
010 _a978-0-8176-4479-6
_dcompra
090 _a82839
100 _a20190128d2006 k||y0pory50 ba
101 _aeng
102 _aUS
200 _aCycle spaces of flag domains
_bDocumento eletrn̤ico
_ea complex geometric viewpoint
_fGregor Fels, Alan Huckleberry, Joseph A. Wolf
210 _aBoston, MA
_cBirkhũser
_d2006
215 _aXX, 339 p.
225 _aProgress in Mathematics
_h245
300 _aColocaȯ̂: Online
303 _aThis monograph, divided into four parts, presents a comprehensive treatment and systematic examination of cycle spaces of flag domains. Assuming only a basic familiarity with the concepts of Lie theory and geometry, this work presents a complete structure theory for these cycle spaces, as well as their applications to harmonic analysis and algebraic geometry. Key features: * Accessible to readers from a wide range of fields, with all the necessary background material provided for the nonspecialist * Many new results presented for the first time * Driven by numerous examples * The exposition is presented from the complex geometric viewpoint, but the methods, applications and much of the motivation also come from real and complex algebraic groups and their representations, as well as other areas of geometry * Comparisons with classical Barlet cycle spaces are given * Good bibliography and index Researchers and graduate students in differential geometry, complex analysis, harmonic analysis, representation theory, transformation groups, algebraic geometry, and areas of global geometric analysis will benefit from this work.
410 _x0743-1643
_v245
606 _95032
_aGrupos de Lie
606 _935909
_aFormas automr̤ficas
606 _93839
_aGeometria algb̌rica
680 _aQA387
700 _aFels
_bGregor
_932392
701 _aHuckleberry
_bAlan
_4070
_932393
701 _aWolf
_bJoseph A.
_4070
_95070
801 _gRPC
_aPT
856 _uhttps://doi.org/10.1007/0-8176-4479-2
942 _2lcc
_cF
_n0