Quantum Theory, Groups and Representations, Peter Woit

Автор: Anatoli Klimyk; Konrad Schm?dgen
Название: Quantum Groups and Their Representations
ISBN: 3642646018 ISBN-13(EAN): 9783642646010
Издательство: Springer
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Цена: 95770.00 T
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Описание: The invention of quantum groups is one of the outstanding achievements of mathematical physics and mathematics in the late twentieth century. The birth of the new theory and its rapid development are results of a strong interrelation between mathematics and physics. Quantu groups arose in the work of L.D. Faddeev and the Leningrad school on the inverse scattering method in order to solve integrable models. The algebra Uq(sh) appeared first in 1981 in a paper by P.P. Kulish and N.Yu. Reshetikhin on the study of integrable XYZ models with highest spin. Its Hopf algebra structure was discovered later by E.K. Sklyanin. A major event was the discovery by V.G. Drinfeld and M. Jimbo around 1985 of a class of Hopf algebras which can be considered as one-parameter deforma- tions of universal enveloping algebras of semisimple complex Lie algebras. These Hopf algebras will be called Drinfeld-Jimbo algebras in this book. Al- most simultaneously, S.L. Woronowicz invented the quantum group SUq(2) and developed his theory of compact quantum matrix groups. An algebraic approach to quantized coordinate algebras was given about this time by Yu.I. Manin.

Автор: Hans-J?rgen Borchers
Название: Translation Group and Particle Representations in Quantum Field Theory
ISBN: 3662140780 ISBN-13(EAN): 9783662140789
Издательство: Springer
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Цена: 87070.00 T
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Описание: At the time I learned quantum field theory it was considered a folk theo- rem that it is easy to construct field theories fulfilling either the locality or the spectrum condition. The construction of a theory fulfilling locality without a pos- itive energy representation was first done by Doplicher, Regge, and Singer [DRS].

Автор: Yurii I. Lyubich
Название: Introduction to the Theory of Banach Representations of Groups
ISBN: 3764322071 ISBN-13(EAN): 9783764322076
Издательство: Springer
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Цена: 74490.00 T
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Описание: The theory of group representations plays an important roie in modern mathematics and its applica~ions to natural sciences.

Автор: Philipp Niemann; Robert Wille
Название: Compact Representations for the Design of Quantum Logic
ISBN: 3319637231 ISBN-13(EAN): 9783319637235
Издательство: Springer
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Цена: 51230.00 T
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Описание: This book discusses modern approaches and challenges of computer-aided design (CAD) of quantum circuits with a view to providing compact representations of quantum functionality.

Автор: Timothy M.W. Eyre
Название: Quantum Stochastic Calculus and Representations of Lie Superalgebras
ISBN: 3540648976 ISBN-13(EAN): 9783540648970
Издательство: Springer
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Цена: 25110.00 T
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Описание: This book aims to provide a self-contained exposition of what is known about Z2-graded quantum stochastic calculus and to provide a framework for future research into this fertile area.