Representations of Finite Chevalley Groups, B. Srinivasan

Автор: David Arnold
Название: Abelian Groups and Representations of Finite Partially Ordered Sets
ISBN: 038798982X ISBN-13(EAN): 9780387989822
Издательство: Springer
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Цена: 130430.00 T
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Описание: Presents an exposition of connections between representations of finite partially ordered sets and abelian groups. This title emphasises on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible.

Автор: David Arnold
Название: Abelian Groups and Representations of Finite Partially Ordered Sets
ISBN: 1461264626 ISBN-13(EAN): 9781461264620
Издательство: Springer
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Цена: 46570.00 T
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Описание: He is the author of "Finite Rank Torsion Free Abelian Groups and Rings" published in the Springer-Verlag Lecture Notes in Mathematics series, a co-editor for two volumes of conference proceedings, and the author of numerous articles in mathematical research journals.

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
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
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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: 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: A. V. Zelevinsky
Название: Representations of Finite Classical Groups
ISBN: 3540108246 ISBN-13(EAN): 9783540108245
Издательство: Springer
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Цена: 23250.00 T
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Автор: Marc Cabanes
Название: Finite Reductive Groups: Related Structures and Representations
ISBN: 0817638857 ISBN-13(EAN): 9780817638856
Издательство: Springer
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Цена: 135050.00 T
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Описание: This volume focuses on the representation theory of groups and related structures, combining the modular representation theory of finite groups of Richard Brauer and the representation theory of reductive groups of George Lusztig.

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: R.W. Carter; J. Saxl
Название: Algebraic Groups and their Representations
ISBN: 0792352920 ISBN-13(EAN): 9780792352921
Издательство: Springer
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Цена: 144410.00 T
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Описание: This volume contains articles by 20 leading workers in the field of algebraic groups and related finite groups. Topics include representation theory, canonical bases and endomorphism algebras.

Автор: R.W. Carter; J. Saxl
Название: Algebraic Groups and their Representations
ISBN: 0792352513 ISBN-13(EAN): 9780792352518
Издательство: Springer
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Цена: 208700.00 T
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Описание: Contains articles in the field of algebraic groups and related finite groups. This book includes articles on representation theory, tilting modules, canonical bases, endomorphism algebras, the symmetric group, the path model, homology bases, semisimplicity in prime characteristic, block theory, and Lusztig`s character formula.

Автор: Dennis Kletzing
Название: Structure and Representations of Q-Groups
ISBN: 354013865X ISBN-13(EAN): 9783540138655
Издательство: Springer
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Цена: 32560.00 T
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