Computational and Combinatorial Group Theory and Cryptography, Benjamin Fine, Delaram Kahrobaei, Gerhard Rosenberger

Автор: Jeffrey Hoffstein and Jill Pipher
Название: Introduction to Mathematical Cryptography
ISBN: 1493917102 ISBN-13(EAN): 9781493917105
Издательство: Springer
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Цена: 83850.00 T
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Описание: An Introduction to Mathematical Cryptography

Автор: Kac Victor G Et Al
Название: Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras (2Nd Edition)
ISBN: 9814522198 ISBN-13(EAN): 9789814522199
Издательство: World Scientific Publishing
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Цена: 33790.00 T
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Описание: The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gℓ∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These Lie algebras appear in the lectures in connection to the Sugawara construction, which is the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. In particular, the book provides a complete proof of the Kac determinant formula, the key result in representation theory of the Virasoro algebra.The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras -- such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations -- simplify and clarify the constructions of the first edition of the book.This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two-dimensional statistical models, and string theory.

Автор: Oleg K. Sheinman
Название: Current Algebras on Riemann Surfaces
ISBN: 3110263963 ISBN-13(EAN): 9783110263961
Издательство: Walter de Gruyter
Цена: 126570.00 T
Наличие на складе: Нет в наличии.
Описание: This monograph is an introduction into a new and fast developing field on the crossroads of infinite-dimensional Lie algebra theory and contemporary mathematical physics. It contains a self-consistent presentation of the theory of Krichever-Novikov algebras, Lax operator algebras, their interaction, representation theory, relations to moduli spaces of Riemann surfaces and holomorphic vector bundles on them, to Lax integrable systems, and conformal field theory. For beginners, the book provides a short way to join in the investigations in these fields. For experts, it sums up the recent advances in the theory of almost graded infinite-dimensional Lie algebras and their applications.The book may serve as a base for semester lecture courses on finite-dimensional integrable systems, conformal field theory, almost graded Lie algebras. Majority of results are presented for the first time in the form of monograph.

Автор: Bump Daniel Et Al
Название: Crystal Bases: Representations And Combinatorics
ISBN: 981473344X ISBN-13(EAN): 9789814733441
Издательство: World Scientific Publishing
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Цена: 50690.00 T
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Описание: This unique book provides the first introduction to crystal base theory from the combinatorial point of view.

Автор: N.H. Ibragimov; M. Torrisi; A. Valenti
Название: Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics
ISBN: 9401049084 ISBN-13(EAN): 9789401049085
Издательство: Springer
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Цена: 93160.00 T
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Описание: Proceedings of the International Workshop, Acireale, Catania, Italy, October 27--31, 1992

Автор: Robeva, Raina
Название: Algebraic and Combinatorial Computational Biology
ISBN: 0128140666 ISBN-13(EAN): 9780128140666
Издательство: Elsevier Science
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Цена: 110030.00 T
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Описание: Algebraic and Combinatorial Computational Biology introduces students and researchers to a panorama of powerful and current methods for mathematical problem-solving in modern computational biology. Presented in a modular format, each topic introduces the biological foundations of the field, covers specialized mathematical theory, and concludes by highlighting connections with ongoing research, particularly open questions. The work addresses problems from gene regulation, neuroscience, phylogenetics, molecular networks, assembly and folding of biomolecular structures, and the use of clustering methods in biology. A number of these chapters are surveys of new topics that have not been previously compiled into one unified source. These topics were selected because they highlight the use of technique from algebra and combinatorics that are becoming mainstream in the life sciences.

Автор: John Stillwell
Название: Classical Topology and Combinatorial Group Theory
ISBN: 1461287499 ISBN-13(EAN): 9781461287490
Издательство: Springer
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Цена: 62380.00 T
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