Quantum Groups

Proceedings of the 8th International Workshop on Mathematical Physics, Held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19–26 July 1989

Heinz-Dietrich Doebner, Jörg-D. Hennig (Herausgeber)

Buch | Softcover

X, 438 Seiten

2014 | 1. Softcover reprint of the original 1st ed. 1990
Springer Berlin (Verlag)
978-3-662-13787-1 (ISBN)

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A 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.

The study of quantum groups is at present the most active topic of research in mathematical physics. Here, for the first time, experts from different schools review the various approaches so far known. The workshop addresses both students and researchers.

to 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.

Erscheint lt. Verlag	17.4.2014
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	X, 438 p. 2 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	738 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Technik ► Maschinenbau
Schlagworte	Algebra • cohomology • conformal field theory • differential equation • Field • Field Theory • Funtionalanalyse • Geometry • Invariant • Math. Physik • partial differential equation • Partielle Differentialgleichungen • polynomial • Quantenfeldtheorie • quantum field • quantum field theory • scattering • Supersymmetry • Tensor
ISBN-10	3-662-13787-9 / 3662137879
ISBN-13	978-3-662-13787-1 / 9783662137871
Zustand	Neuware