The Orbit Method in Representation Theory, Dulfo; Pederson; Vergne
Автор: Roger Howe; Markus Hunziker; Jeb F. Willenbring Название: Symmetry: Representation Theory and Its Applications ISBN: 1493915894 ISBN-13(EAN): 9781493915897 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory.
Автор: Rolf Berndt; Ralf Schmidt Название: Elements of the Representation Theory of the Jacobi Group ISBN: 3034897685 ISBN-13(EAN): 9783034897686 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Hayashi Название: Group Representation for Quantum Theory ISBN: 3319449044 ISBN-13(EAN): 9783319449043 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory.Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d). After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R). Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions.
Автор: Gan Wee Teck, Tan Kai Meng Название: Modular Representation Theory of Finite and P-Adic Groups ISBN: 981465180X ISBN-13(EAN): 9789814651806 Издательство: World Scientific Publishing Рейтинг: Цена: 13939.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013.
Описание: A self-contained treatment of the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The book functions as both a useful reference for researchers, and a graduate textbook with plenty of examples and several exercises.
Автор: Schneider Peter Название: Modular Representation Theory of Finite Groups ISBN: 1447148312 ISBN-13(EAN): 9781447148319 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space.
Автор: Jim Cogdell; Ju-Lee Kim; Chen-Bo Zhu Название: Representation Theory, Number Theory, and Invariant Theory ISBN: 3319597272 ISBN-13(EAN): 9783319597270 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015.
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