Theory of Group Representations, Edwin Hewitt; M.A. Naimark; A.I Stern; Elizabeth H
Автор: Hall Brian Название: Lie Groups, Lie Algebras, and Representations ISBN: 3319134663 ISBN-13(EAN): 9783319134666 Издательство: Springer Рейтинг: Цена: 50810.00 T Наличие на складе: Невозможна поставка. Описание:
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.
In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:
a treatment of the Baker-Campbell-Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras
motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C)
an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras
a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments
The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincar -Birkhoff-Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.
Review of the first edition
This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended.
-- The Mathematical Gazette
Автор: Benson Название: Representations of Elementary Abelian p -Groups and Vector Bundles ISBN: 1107174171 ISBN-13(EAN): 9781107174177 Издательство: Cambridge Academ Рейтинг: Цена: 121440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment includes substantial background material from representation theory and algebraic geometry, including an algebraic treatment of the theory of Chern classes.
Автор: F. R. Beyl; J. Tappe Название: Group Extensions, Representations, and the Schur Multiplicator ISBN: 354011954X ISBN-13(EAN): 9783540119548 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: R. Herb; S. Kudla; R. Lipsman; J. Rosenberg Название: Lie Group Representations II ISBN: 3540127151 ISBN-13(EAN): 9783540127154 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: R. Herb; R. Lipsman; J. Rosenberg Название: Lie Group Representations I ISBN: 3540127259 ISBN-13(EAN): 9783540127253 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: R. Herb; R. Johnson; R. Lipsman; J. Rosenberg Название: Lie Group Representations III ISBN: 3540133852 ISBN-13(EAN): 9783540133858 Издательство: Springer Рейтинг: Цена: 41880.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Anatoli Klimyk; Konrad Schm?dgen Название: Quantum Groups and Their Representations ISBN: 3642646018 ISBN-13(EAN): 9783642646010 Издательство: Springer Рейтинг: Цена: 95770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Peter Woit Название: Quantum Theory, Groups and Representations ISBN: 3319646109 ISBN-13(EAN): 9783319646107 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Невозможна поставка. 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: A. Wawrzynczyk Название: Group Representations and Special Functions ISBN: 9027712697 ISBN-13(EAN): 9789027712691 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This programme, Mathematics and Its Applications, is devoted to such (new) interrelations as exempli gratia: - a central concept which plays an important role in several different mathematical andjor scientific specialized areas;
Автор: Calvin C. Moore Название: Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics ISBN: 1461291305 ISBN-13(EAN): 9781461291305 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey`s mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild.
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