Characters of Groups and Lattices over Orders, Zimmermann Alexander
Автор: Steven Roman Название: Lattices and Ordered Sets ISBN: 1441927042 ISBN-13(EAN): 9781441927040 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Lattice theory began in the early 1890s, when Richard Dedekind wanted to know the answer to the following question: Given three subgroups EF , and G of an abelian group K, what is the largest number of distinct subgroups that can be formed using these subgroups and the operations of intersection and sum (join), as in E?FssDE?FN?GssE?DF?GN and so on?
Автор: John Conway; Neil J. A. Sloane Название: Sphere Packings, Lattices and Groups ISBN: 1441931341 ISBN-13(EAN): 9781441931344 Издательство: Springer Рейтинг: Цена: 11313.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We now apply the algorithm above to find the 121 orbits of norm -2 vectors from the (known) nann 0 vectors, and then apply it again to find the 665 orbits of nann -4 vectors from the vectors of nann 0 and -2. The neighbors of a strictly 24 dimensional odd unimodular lattice can be found as follows. If a norm -4 vector v E II . corresponds to the sum 25 1 of a strictly 24 dimensional odd unimodular lattice A and a -dimensional lattice, then there are exactly two nonn-0 vectors of ll25,1 having inner product -2 with v, and these nann 0 vectors correspond to the two even neighbors of A. The enumeration of the odd 24-dimensional lattices. Figure 17.1 shows the neighborhood graph for the Niemeier lattices, which has a node for each Niemeier lattice. If A and B are neighboring Niemeier lattices, there are three integral lattices containing A n B, namely A, B, and an odd unimodular lattice C (cf. Kne4]). An edge is drawn between nodes A and B in Fig. 17.1 for each strictly 24-dimensional unimodular lattice arising in this way. Thus there is a one-to-one correspondence between the strictly 24-dimensional odd unimodular lattices and the edges of our neighborhood graph. The 156 lattices are shown in Table 17 .I. Figure I 7. I also shows the corresponding graphs for dimensions 8 and 16.
Автор: Patrik Eklund; Javier Gutie?rrez Garci?a; Ulrich H Название: Semigroups in Complete Lattices ISBN: 3030076873 ISBN-13(EAN): 9783030076870 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph provides a modern introduction to the theory of quantales.First coined by C.J. Mulvey in 1986, quantales have since developed into a significant topic at the crossroads of algebra and logic, of notable interest to theoretical computer science. This book recasts the subject within the powerful framework of categorical algebra, showcasing its versatility through applications to C*- and MV-algebras, fuzzy sets and automata. With exercises and historical remarks at the end of each chapter, this self-contained book provides readers with a valuable source of references and hints for future research.This book will appeal to researchers across mathematics and computer science with an interest in category theory, lattice theory, and many-valued logic.
Автор: Martin R. Weber Название: Finite Elements in Vector Lattices ISBN: 3110350777 ISBN-13(EAN): 9783110350777 Издательство: Walter de Gruyter Цена: 26024.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is the first systematical treatment of the theory of finite elements in Archimedean vector lattices and contains the results known on this topic up to the year 2013. It joins all important contributions achieved by a series of mathematicians that can only be found in scattered in literature.
Автор: Folkert M?ller-Hoissen; Jean Marcel Pallo; Jim Sta Название: Associahedra, Tamari Lattices and Related Structures ISBN: 3034807961 ISBN-13(EAN): 9783034807968 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari`s thesis. On the occasion of Dov Tamari`s centennial birthday, this book provides an introduction to topical research related to Tamari`s work and ideas.
Автор: Morikazu Toda Название: Theory of Nonlinear Lattices ISBN: 3540183272 ISBN-13(EAN): 9783540183273 Издательство: Springer Рейтинг: Цена: 9141.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations.
Автор: L.N. Shevrin; A.J. Ovsyannikov Название: Semigroups and Their Subsemigroup Lattices ISBN: 0792342216 ISBN-13(EAN): 9780792342212 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: (In certain cases, such as that of semigroups, in order to have the right always to say that SubA is a lattice, we have to treat the empty set as a subsystem.) The study of various inter-relationships between systems and their subsystem lattices is a rather large field of investigation developed over many years.
Название: Automorphic Forms and Even Unimodular Lattices ISBN: 3319958909 ISBN-13(EAN): 9783319958903 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.Its connecting thread is a question about lattices of rank 24: the problem of p-neighborhoods between Niemeier lattices. This question, whose expression is quite elementary, is in fact very natural from the automorphic point of view, and turns out to be surprisingly intriguing. We explain how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations.This monograph is intended for any mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A large part of it is meant to be accessible to non-specialists.
Автор: Jorge Almeida; Gabriela Bordalo; Philip Dwinger Название: Lattices, Semigroups, and Universal Algebra ISBN: 1489926100 ISBN-13(EAN): 9781489926104 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of an international conference held in Lisbon, Portugal, June 20-24, 1988
Автор: Peter Jipsen; Henry Rose Название: Varieties of Lattices ISBN: 3540563148 ISBN-13(EAN): 9783540563143 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of this study is to present the main results concerning modular and nonmodular lattice varieties, equational bases and the amalgamation property in a uniform manner. An introductory chapter makes the material accessible to readers with a rudimentary knowledge of universal algebra.
Автор: Matthias Sch?tt; Tetsuji Shioda Название: Mordell–Weil Lattices ISBN: 9813293004 ISBN-13(EAN): 9789813293007 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book lays out the theory of Mordell–Weil lattices, a very powerful and influential tool at the crossroads of algebraic geometry and number theory, which offers many fruitful connections to other areas of mathematics.The book presents all the ingredients entering into the theory of Mordell–Weil lattices in detail, notably, relevant portions of lattice theory, elliptic curves, and algebraic surfaces. After defining Mordell–Weil lattices, the authors provide several applications in depth. They start with the classification of rational elliptic surfaces. Then a useful connection with Galois representations is discussed. By developing the notion of excellent families, the authors are able to design many Galois representations with given Galois groups such as the Weyl groups of E6, E7 and E8. They also explain a connection to the classical topic of the 27 lines on a cubic surface.
Two chapters deal with elliptic K3 surfaces, a pulsating area of recent research activity which highlights many central properties of Mordell–Weil lattices. Finally, the book turns to the rank problem—one of the key motivations for the introduction of Mordell–Weil lattices. The authors present the state of the art of the rank problem for elliptic curves both over Q and over C(t) and work out applications to the sphere packing problem. Throughout, the book includes many instructive examples illustrating the theory.
Автор: Fumitomo Maeda; Shuichiro Maeda Название: Theory of Symmetric Lattices ISBN: 3642462502 ISBN-13(EAN): 9783642462504 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Of central importance in this book is the concept of modularity in lattices. These lattices are said to be M-sym- metric, and their study forms an extension of the theory of modular lattices. We have a deep theory of parallelism in an affine matroid lattice, a special kind of matroid lattice.
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