000 02614nam a22004098i 4500
001 CR9780511599897
003 UkCbUP
005 20200124160235.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090721s1995||||enk o ||1 0|eng|d
020 _a9780511599897 (ebook)
020 _z9780521465014 (hardback)
020 _z9780521597005 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC20.7.L54
_bA93 1995
082 0 0 _a512/.55
_220
100 1 _aAzcárraga, J. A. de,
_d1941-
_eauthor.
245 1 0 _aLie groups, Lie algebras, cohomology, and some applications in physics /
_cJosé A. de Azcárraga and José M. Izquierdo.
246 3 _aLie Groups, Lie Algebras, Cohomology & some Applications in Physics
264 1 _aCambridge :
_bCambridge University Press,
_c1995.
300 _a1 online resource (xvii, 455 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge monographs on mathematical physics
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aNow in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its applications in physics. No previous knowledge of the mathematical theory is assumed beyond some notions of Cartan calculus and differential geometry (which are nevertheless reviewed in the book in detail). The examples, of current interest, are intended to clarify certain mathematical aspects and to show their usefulness in physical problems. The topics treated include the differential geometry of Lie groups, fibre bundles and connections, characteristic classes, index theorems, monopoles, instantons, extensions of Lie groups and algebras, some applications in supersymmetry, Chevalley-Eilenberg approach to Lie algebra cohomology, symplectic cohomology, jet-bundle approach to variational principles in mechanics, Wess-Zumino-Witten terms, infinite Lie algebras, the cohomological descent in mechanics and in gauge theories and anomalies. This book will be of interest to graduate students and researchers in theoretical physics and applied mathematics.
650 0 _aLie groups.
650 0 _aLie algebras.
650 0 _aHomology theory.
650 0 _aMathematical physics.
700 1 _aIzquierdo, José M.,
_eauthor.
776 0 8 _iPrint version:
_z9780521465014
830 0 _aCambridge monographs on mathematical physics.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511599897
999 _c518000
_d517998