000 03078nam a22005655i 4500
001 978-3-540-47801-0
003 DE-He213
005 20160624101853.0
007 cr nn 008mamaa
008 121227s1996 gw | s |||| 0|eng d
020 _a9783540478010
_9978-3-540-47801-0
024 7 _a10.1007/978-3-540-47801-0
_2doi
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.15
_223
100 1 _aPittner, Ludwig.
_eauthor.
245 1 0 _aAlgebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups
_h[electronic resource] /
_cby Ludwig Pittner.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1996.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1996.
300 _aXII, 469 pp.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v39
505 0 _aLie Algebras -- Lie Superalgebras -- Coalgebras and Z2-Graded Hopf Algebras -- Formal Power Series with Homogeneous Relations -- Z2-Graded Lie-Cartan Pairs -- Real Lie-Hopf Superalgebras -- Universal Differential Envelope -- Quantum Groups -- Categorial Viewpoint.
520 _aQuantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics. They are also considered useful tools for model building in statistical and quantum physics. This book, addressing scientists and postgraduates, contains a detailed and rather complete presentation of the algebraic framework. Introductory chapters deal with background material such as Lie and Hopf superalgebras, Lie super-bialgebras, or formal power series. A more general approach to differential forms, and a systematic treatment of cyclic and Hochschild cohomologies within their universal differential envelopes are developed. Quantum groups and quantum algebras are treated extensively. Great care was taken to present a reliable collection of formulae and to unify the notation, making this volume a useful work of reference for mathematicians and mathematical physicists.
650 0 _aPhysics.
650 0 _aQuantum theory.
650 0 _aMathematical physics.
650 0 _aQuantum computing.
650 0 _aStatistical physics.
650 0 _aThermodynamics.
650 1 4 _aPhysics.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aNumerical and Computational Methods.
650 2 4 _aQuantum Physics.
650 2 4 _aQuantum Computing, Information and Physics.
650 2 4 _aThermodynamics.
650 2 4 _aStatistical Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540605874
786 _dSpringer
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v39
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-47801-0
942 _2EBK2659
_cEBK
999 _c31953
_d31953