Noncommutative Polynomial Algebras of Solvable Type and Their Modules: Basic Constructive-Computational Theory and Methods, Li Huishi
Автор: Didier Arnal, Bradley Currey Название: Representations of Solvable Lie Groups: Basic Theory and Examples ISBN: 1108428096 ISBN-13(EAN): 9781108428095 Издательство: Cambridge Academ Рейтинг: Цена: 23285.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph answers the need for a unified account of the basic theory of unitary group representations, combined with new results, in a style that is broadly accessible for both graduate students and researchers.
Автор: Kanel-Belov, Alexei , Rowen, Louis Halle Название: Computational Aspects of Polynomial Identities ISBN: 0367446502 ISBN-13(EAN): 9780367446505 Издательство: Taylor&Francis Рейтинг: Цена: 9492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces polynomial identity (PI)-algebras and reviews some well-known results and techniques, most of which are associated with the structure theory. It presents a full proof of Kemer`s solution to Specht`s conjecture.
Автор: Kanel-Belov, Alexei , Karasik, Yakov , Rowen, Lo Название: Computational Aspects of Polynomial Identities ISBN: 0367445808 ISBN-13(EAN): 9780367445805 Издательство: Taylor&Francis Рейтинг: Цена: 9798.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. It gives all the details involved in Kemer`s proof of Specht`s conjecture for affine PI-algebras in characteristic 0. This edition presents a tighter formulation of Zubrilin`s theory and contains a more
Автор: Di Vincenzo Onofrio Mario, Giambruno Antonio Название: Polynomial Identities in Algebras ISBN: 3030631109 ISBN-13(EAN): 9783030631109 Издательство: Springer Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems.
Описание: A polynomial identity for an algebra (or a ring) $A$ is a polynomial in noncommutative variables that vanishes under any evaluation in $A$. An algebra satisfying a nontrivial polynomial identity is called a PI algebra, and this is the main object of study in this book, which can be used by graduate students and researchers alike. The book is divided into four parts. Part 1 contains foundational material on representation theory and noncommutative algebra. In addition to setting the stage for the rest of the book, this part can be used for an introductory course in noncommutative algebra. An expert reader may use Part 1 as reference and start with the main topics in the remaining parts. Part 2 discusses the combinatorial aspects of the theory, the growth theorem, and Shirshov's bases. Here methods of representation theory of the symmetric group play a major role. Part 3 contains the main body of structure theorems for PI algebras, theorems of Kaplansky and Posner, the theory of central polynomials, M. Artin's theorem on Azumaya algebras, and the geometric part on the variety of semisimple representations, including the foundations of the theory of Cayley-Hamilton algebras. Part 4 is devoted first to the proof of the theorem of Razmyslov, Kemer, and Braun on the nilpotency of the nil radical for finitely generated PI algebras over Noetherian rings, then to the theory of Kemer and the Specht problem. Finally, the authors discuss PI exponent and codimension growth. This part uses some nontrivial analytic tools coming from probability theory. The appendix presents the counterexamples of Golod and Shafarevich to the Burnside problem.
Автор: Di Vincenzo Onofrio Mario, Giambruno Antonio Название: Polynomial Identities in Algebras ISBN: 3030631133 ISBN-13(EAN): 9783030631130 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems.
Автор: Sheffer Adam Название: Polynomial Methods and Incidence Theory ISBN: 1108832490 ISBN-13(EAN): 9781108832496 Издательство: Cambridge University Press Рейтинг: Цена: 13484.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a detailed introduction to the new polynomial methods responsible for numerous major mathematical breakthroughs in the past decade. It requires a minimal background and includes many examples, warm-up proofs, and exercises, allowing graduate and advanced undergraduate students to get to grips with an active and exciting research front.
Описание: The simultaneous inclusion of polynomial complex zeros is a crucial problem in numerical analysis. This book is suitable for mathematicians, engineers, physicists and computer scientists who are interested in developments and applications in the subject, as well as those with graduate level mathematical background.
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