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008 121227s1990 gw | s |||| 0|eng d
020 _a9783540466475
_9978-3-540-46647-5
024 7 _a10.1007/3-540-53503-9
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
082 0 4 _a530.12
_223
245 1 0 _aQuantum Groups
_h[electronic resource] :
_bProceedings of the 8th International Workshop on Mathematical Physics Held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19–26 July 1989 /
_cedited by H. -D. Doebner, J. -D. Hennig.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1990.
300 _aX, 438 p. 2 illus.
_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,
_x0075-8450 ;
_v370
505 0 _ato quantum groups -- Mathematical guide to quantum groups -- A q-boson realization of the quantum group SU q (2) and the theory of q-tensor operators -- Polynomial basis for SU(2)q and Clebsch-Gordan coefficients -- U q (sl(2)) Invariant operators and reduced polynomial identities -- Classification and characters of Uq(sl(3, C ))representations -- Extremal projectors for quantized kac-moody superalgebras and some of their applications -- Yang-Baxter algebras, integrable theories and Betre Ansatz -- Yang-Baxter algebra — Bethe Ansatz — conformal quantum field theories — quantum groups -- Classical Yang-Baxter equations and quantum integrable systems (Gaudin models) -- Quantum groups as symmetries of chiral conformal algebras -- Comments on rational conformal field theory, quantum groups and tower of algebras -- Chern-Simons field theory and quantum groups -- Quantum symmetry associated with braid group statistics -- Sum rules for spins in (2 + 1)-dimensional quantum field theory -- Anomalies from the phenomenological and geometrical points of view -- KMS states, cyclic cohomology and supersymmetry -- Gauge theories based on a non-commutative geometry -- Algebras symmetries spaces.
520 _aA thorough analysis of exactly soluble models in nonlinear classical systems and in quantum systems as well as recent studies in conformal quantum field theory have revealed the structure of quantum groups to be an interesting and rich framework for mathematical and physical problems. In this book, for the first time, authors from different schools review in an intelligible way the various competing approaches: inverse scattering methods, 2-dimensional statistical models, Yang-Baxter algebras, the Bethe ansatz, conformal quantum field theory, representations, braid group statistics, noncommutative geometry, and harmonic analysis.
650 0 _aQuantum theory.
650 1 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aQuantum Information Technology, Spintronics.
_0http://scigraph.springernature.com/things/product-market-codes/P31070
700 1 _aDoebner, H. -D.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aHennig, J. -D.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662137871
776 0 8 _iPrinted edition:
_z9783662137864
776 0 8 _iPrinted edition:
_z9783540535034
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v370
856 4 0 _uhttps://doi.org/10.1007/3-540-53503-9
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
999 _c10635
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