Lie Group Representations I, R. Herb; R. Lipsman; J. Rosenberg

Автор: R. Herb; S. Kudla; R. Lipsman; J. Rosenberg
Название: Lie Group Representations II
ISBN: 3540127151 ISBN-13(EAN): 9783540127154
Издательство: Springer
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Цена: 37220.00 T
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Автор: A. Wawrzynczyk
Название: Group Representations and Special Functions
ISBN: 9027712697 ISBN-13(EAN): 9789027712691
Издательство: Springer
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Цена: 121110.00 T
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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: Hall Brian
Название: Lie Groups, Lie Algebras, and Representations
ISBN: 3319134663 ISBN-13(EAN): 9783319134666
Издательство: Springer
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Цена: 50810.00 T
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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: R. Herb; R. Johnson; R. Lipsman; J. Rosenberg
Название: Lie Group Representations III
ISBN: 3540133852 ISBN-13(EAN): 9783540133858
Издательство: Springer
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Цена: 41880.00 T
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Автор: F. R. Beyl; J. Tappe
Название: Group Extensions, Representations, and the Schur Multiplicator
ISBN: 354011954X ISBN-13(EAN): 9783540119548
Издательство: Springer
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Цена: 41920.00 T
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Автор: Calvin C. Moore
Название: Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics
ISBN: 1461291305 ISBN-13(EAN): 9781461291305
Издательство: Springer
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Цена: 111790.00 T
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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.

Автор: Benson
Название: Representations of Elementary Abelian p -Groups and Vector Bundles
ISBN: 1107174171 ISBN-13(EAN): 9781107174177
Издательство: Cambridge Academ
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Цена: 121440.00 T
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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: Edwin Hewitt; M.A. Naimark; A.I Stern; Elizabeth H
Название: Theory of Group Representations
ISBN: 1461381444 ISBN-13(EAN): 9781461381440
Издательство: Springer
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Цена: 81050.00 T
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Описание: Author`s Preface to the Russian Edition This book is written for advanced students, for predoctoral graduate stu- dents, and for professional scientists-mathematicians, physicists, and chemists-who desire to study the foundations of the theory of finite- dimensional representations of groups.