000 03917nam a22005775i 4500
001 978-0-8176-4643-1
003 DE-He213
005 20181204133001.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780817646431
_9978-0-8176-4643-1
024 7 _a10.1007/978-0-8176-4643-1
_2doi
040 _aISI Library, Kolkata
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
072 7 _aPBM
_2thema
082 0 4 _a516
_223
245 1 0 _aConformal Groups in Geometry and Spin Structures
_h[electronic resource] /
_cedited by Pierre Anglès.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2008.
300 _aXXVIII, 284 p. 40 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematical Physics,
_x1544-9998 ;
_v50
505 0 _aClassic Groups: Clifford Algebras, Projective Quadrics, and Spin Groups -- Real Conformal Spin Structures -- Pseudounitary Conformal Spin Structures.
520 _aConformal groups play a key role in geometry and spin structures. This book provides a self-contained overview of this important area of mathematical physics, beginning with its origins in the works of Cartan and Chevalley and progressing to recent research in spinors and conformal geometry. Key topics and features: * Focuses initially on the basics of Clifford algebras * Studies the spaces of spinors for some even Clifford algebras * Examines conformal spin geometry, beginning with an elementary study of the conformal group of the Euclidean plane * Treats covering groups of the conformal group of a regular pseudo-Euclidean space, including a section on the complex conformal group * Introduces conformal flat geometry and conformal spinoriality groups, followed by a systematic development of riemannian or pseudo-riemannian manifolds having a conformal spin structure * Discusses links between classical spin structures and conformal spin structures in the context of conformal connections * Examines pseudo-unitary spin structures and pseudo-unitary conformal spin structures using the Clifford algebra associated with the classical pseudo-unitary space * Ample exercises with many hints for solutions * Comprehensive bibliography and index This text is suitable for a course in mathematical physics at the advanced undergraduate and graduate levels. It will also benefit researchers as a reference text.
650 0 _aGeometry.
650 0 _aMathematical physics.
650 0 _aGroup theory.
650 0 _aNumber theory.
650 0 _aAlgebra.
650 0 _aMatrix theory.
650 1 4 _aGeometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21006
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
650 2 4 _aAssociative Rings and Algebras.
_0http://scigraph.springernature.com/things/product-market-codes/M11027
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11094
700 1 _aAnglès, Pierre.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817670443
776 0 8 _iPrinted edition:
_z9780817635121
830 0 _aProgress in Mathematical Physics,
_x1544-9998 ;
_v50
856 4 0 _uhttps://doi.org/10.1007/978-0-8176-4643-1
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425743
_d425743