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008 100715s2010 xxu| s |||| 0|eng d
020 _a9780817649388
_9978-0-8176-4938-8
040 _cMX-MeUAM
050 4 _aQA252.3
050 4 _aQA387
082 0 4 _a512.55
_223
082 0 4 _a512.482
_223
100 1 _aChriss, Neil.
_eauthor.
245 1 0 _aRepresentation Theory and Complex Geometry
_h[recurso electrónico] /
_cby Neil Chriss, Victor Ginzburg.
250 _a1st.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2010.
300 _aX, 495p. 10 illus., 5 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModern Birkhäuser Classics
505 0 _aSymplectic Geometry -- Mosaic -- Complex Semisimple Groups -- Springer Theory for (sl) -- Equivariant K-Theory -- Flag Varieties, K-Theory, and Harmonic Polynomials -- Hecke Algebras and K–Theory -- Representations of Convolution Algebras.
520 _aThis classic monograph provides an overview of modern advances in representation theory from a geometric standpoint. A geometrically-oriented treatment of the subject is very timely and has long been desired, especially since the discovery of D-modules in the early 1980s and the quiver approach to quantum groups in the early 1990s. The techniques developed are quite general and can be successfully applied to other areas such as quantum groups, affine Lie groups, and quantum field theory. The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working mathematician. The book is largely self-contained. . . . There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups. . . . An attractive feature is the attempt to convey some informal 'wisdom' rather than only the precise definitions. As a number of results is due to the authors, one finds some of the original excitement. This is the only available introduction to geometric representation theory. . . it has already proved successful in introducing a new generation to the subject. --- Bulletin of the American Mathematical Society The authors have tried to help readers by adopting an informal and easily accessible style. . . . The book will provide a guide to those who wish to penetrate into subject-matter which, so far, was only accessible in difficult papers. . . . The book is quite suitable as a basis for an advanced course or a seminar, devoted to the material of one of the chapters of the book. --- Mededelingen van het Wiskundig Genootschap Represents an important and very interesting addition to the literature. --- Mathematical Reviews
650 0 _aMathematics.
650 0 _aGeometry, algebraic.
650 0 _aTopological Groups.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aMathematics.
650 2 4 _aTopological Groups, Lie Groups.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
650 2 4 _aTheoretical, Mathematical and Computational Physics.
700 1 _aGinzburg, Victor.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817649371
830 0 _aModern Birkhäuser Classics
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-4938-8
596 _a19
942 _cLIBRO_ELEC
999 _c198304
_d198304