000			02949nam a22003855i 4500
001			297785
003			MX-SnUAN
005			20170705134240.0
007			cr nn 008mamaa
008			150903s2009 gw | o |||| 0|eng d
020			_a9783540772637 _99783540772637
024	7		_a10.1007/9783540772637 _2doi
035			_avtls000351395
039		9	_a201509030422 _bVLOAD _c201405060250 _dVLOAD _y201402171120 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA252.3
100	1		_aKhesin, Boris. _eautor _9333548
245	1	4	_aThe Geometry of Infinite-Dimensional Groups / _cby Boris Khesin, Robert Wendt.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2009.
300			_brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aErgebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics ; _v51
500			_aSpringer eBooks
505	0		_aPreface -- Introduction -- I Preliminaries -- II Infinite-dimensional Lie Groups: Their Geometry, Orbits and Dynamical Systems -- III Applications of Groups: Topological and Holomorphic Gauge Theories -- Appendices -- A1 Root Systems -- A2 Compact Lie Groups -- A3 Krichever-Novikov Algebras -- A4 Kähler Structures on the Virasoro and Loop Group Coadjoint Orbits -- A5 Metrics and Diameters of the Group of Hamiltonian Diffeomorphisms -- A6 Semi-Direct Extensions of the Diffeomorphism Group and Gas Dynamics -- A7 The Drinfeld-Sokolov Reduction -- A8 Surjectivity of the Exponential Map on Pseudo-Differential Symbols -- A9 Torus Actions on the Moduli Space of Flat Connections -- Bibliography -- Index.
520			_aThis monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes unifying geometric ideas of the theory and gives numerous illustrations and examples, ranging from the classification of the Virasoro coadjoint orbits to knot theory, from optimal mass transport to moduli spaces of flat connections on surfaces. The text includes many exercises and open questions, and it is accessible to both students and researchers in Lie theory, geometry, and Hamiltonian systems.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aWendt, Robert. _eautor _9333736
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783540772620
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-540-77263-7 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c297785 _d297785