Quantum Groups, Heinz-Dietrich Doebner; J?rg-D. Hennig

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: Johnny T. Ottesen
Название: Infinite Dimensional Groups and Algebras in Quantum Physics
ISBN: 3662140535 ISBN-13(EAN): 9783662140536
Издательство: Springer
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Цена: 87070.00 T
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Описание: The idea of writing this book appeared when I was working on some problems related to representations of physically relevant infinite - mensional groups of operators on physically relevant Hilbert spaces.

Автор: Debashish Goswami; Jyotishman Bhowmick
Название: Quantum Isometry Groups
ISBN: 8132236653 ISBN-13(EAN): 9788132236658
Издательство: Springer
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Цена: 93160.00 T
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Описание: One of the most striking and profound findings is the non-existence of non-classical quantum isometry groups for arbitrary classical connected compact manifolds and, by using this, the authors explicitly describe quantum isometry groups of most of the noncommutative manifolds studied in the literature.

Автор: Peter Woit
Название: Quantum Theory, Groups and Representations
ISBN: 3319646109 ISBN-13(EAN): 9783319646107
Издательство: Springer
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Цена: 74530.00 T
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Описание: The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject.

Автор: Matilde Marcolli; Deepak Parashar
Название: Quantum Groups and Noncommutative Spaces
ISBN: 3834826898 ISBN-13(EAN): 9783834826893
Издательство: Springer
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Цена: 47880.00 T
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Описание: Contributions byTomasz Brzezinski, Branimir Cacic, Rita Fioresi, Rita Fioresi and Fabio Gavarini, Debashish Goswami, Christian Kassel, Avijit Mukherjee, Alfons Van Daele, Robert Wisbauer, Alessandro Zampini

Автор: Christian Kassel
Название: Quantum Groups
ISBN: 0387943706 ISBN-13(EAN): 9780387943701
Издательство: Springer
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Цена: 79190.00 T
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Описание: Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld`s recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras.

Автор: L.A. Lambe; D.E. Radford
Название: Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
ISBN: 0792347218 ISBN-13(EAN): 9780792347217
Издательство: Springer
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Цена: 102480.00 T
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Описание: The quantum Yang-Baxter equation is an important equation to solve for applications in physics and topology. This book considers the equation in the context of algebraic systems and as a problem for computer algebra. It presents an account of the theoretical foundations of solving the equation.