LEADER 04087nam 22005895 450 001 996466707903316 005 20200703133042.0 010 $a3-540-46647-9 024 7 $a10.1007/3-540-53503-9 035 $a(CKB)1000000000233591 035 $a(SSID)ssj0000326040 035 $a(PQKBManifestationID)12118504 035 $a(PQKBTitleCode)TC0000326040 035 $a(PQKBWorkID)10266212 035 $a(PQKB)10718290 035 $a(DE-He213)978-3-540-46647-5 035 $a(PPN)155208349 035 $a(EXLCZ)991000000000233591 100 $a20121227d1990 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum Groups$b[electronic resource] $eProceedings of the 8th International Workshop on Mathematical Physics, Held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19?26 July 1989 /$fedited by Heinz-Dietrich Doebner, Jörg-D. Hennig 205 $a1st ed. 1990. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1990. 215 $a1 online resource (X, 438 p. 2 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v370 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-53503-9 327 $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. 330 $aA thorough analysis of exactly soluble models in nonlinear classical systems and in quantum systems as well as recent studies in conformal quantum field theory have revealed the structure of quantum groups to be an interesting and rich framework for mathematical and physical problems. In this book, for the first time, authors from different schools review in an intelligible way the various competing approaches: inverse scattering methods, 2-dimensional statistical models, Yang-Baxter algebras, the Bethe ansatz, conformal quantum field theory, representations, braid group statistics, noncommutative geometry, and harmonic analysis. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v370 606 $aQuantum physics 606 $aQuantum computers 606 $aSpintronics 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 615 0$aQuantum physics. 615 0$aQuantum computers. 615 0$aSpintronics. 615 14$aQuantum Physics. 615 24$aQuantum Information Technology, Spintronics. 676 $a530.1/43 702 $aDoebner$b Heinz-Dietrich$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHennig$b Jörg-D$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 12$aInternational Workshop on Mathematical Physics 906 $aBOOK 912 $a996466707903316 996 $aQuantum groups$980126 997 $aUNISA