000 02973nam a22003615i 4500
001 309263
003 MX-SnUAN
005 20160429160254.0
007 cr nn 008mamaa
008 150903s2007 gw | o |||| 0|eng d
020 _a9783834894014
_99783834894014
024 7 _a10.1007/9783834894014
_2doi
035 _avtls000363335
039 9 _a201509031023
_bVLOAD
_c201405070342
_dVLOAD
_y201402211144
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA1-939
100 1 _aBerndt, Rolf.
_eautor
_9349462
245 1 0 _aRepresentations of Linear Groups :
_bAn Introduction Based on Examples from Physics and Number Theory /
_cby Rolf Berndt.
264 1 _aWiesbaden :
_bVieweg,
_c2007.
300 _axii, 270 páginas 19 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
505 0 _aPrologue: Some Groups and their Actions -- Basic Algebraic Concepts for Group Representations -- Representations of Finite Groups -- Continuous Representations -- Representations of Compact Groups -- Representations of Abelian Groups -- The Infinitesimal Method -- Induced Representations -- Geometric Quantization and the Orbit Method -- Epilogue: Outlook to Number Theory.
520 _aThis is an elementary introduction to the representation theory of real and complex matrix groups. The text is written for students in mathematics and physics who have a good knowledge of differential/integral calculus and linear algebra and are familiar with basic facts from algebra, number theory and complex analysis. The goal is to present the fundamental concepts of representation theory, to describe the connection between them, and to explain some of their background. The focus is on groups which are of particular interest for applications in physics and number theory (e.g. Gell-Mann's eightfold way and theta functions, automorphic forms). The reader finds a large variety of examples which are presented in detail and from different points of view. The examples motivate the general theory well covered already by the existing literature. Hence for complete proofs of most of the essential statements and theorems the reader is often referred to the standard sources. Plenty of exercises are included in the text. Some of these exercises and/or omitted proofs may give a starting point for a bachelor thesis and further studies in a master program.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783834803191
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-8348-9401-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c309263
_d309263