Algebras, Lattices, Varieties: Volume III, George F. McNulty, Ralph N. McKenzie, Ralph S. Freese, Walter F. Taylor
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: Adaricheva К. et al Название: A Primer of Subquasivariety Lattices ISBN: 3030980871 ISBN-13(EAN): 9783030980870 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book addresses Birkhoff and Mal`cev`s problem of describing subquasivariety lattices. Subquasivariety lattices are represented as lattices of closed algebraic subsets of a lattice with operators, which yields new restrictions on the equaclosure operator.
Описание: Explores various aspects of coherence in homological algebra that already appear in the classical situation of abelian groups or abelian categories. This title includes lattices of subobjects that are shown to play an important role in study of homological systems, from simple chain complexes to the structures that give rise to spectral sequences.
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: 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.
Автор: G. Gierz Название: Continuous Lattices and Domains ISBN: 0521803381 ISBN-13(EAN): 9780521803380 Издательство: Cambridge Academ Рейтинг: Цена: 33739.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. This authoritative and comprehensive account of the subject will be an essential handbook for all those working in the area.
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.
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: George F. McNulty, Ralph N. McKenzie, Ralph S. Freese, Walter F. Taylor Название: Algebras, Lattices, Varieties: Volume II ISBN: 1470467976 ISBN-13(EAN): 9781470467975 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 15675.00 р. Наличие на складе: Нет в наличии.
Описание: This book is the second of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in the 1980s, built the foundations of the theory and is considered to be a classic in this field.The long-awaited volumes II and III are now available. Taken together, the three volumes provide a comprehensive picture of the state of art in general algebra today, and serve as a valuable resource for anyone working in the general theory of algebraic systems or in related fields.The two new volumes are arranged around six themes first introduced in Volume I. Volume II covers the Classification of Varieties, Equational Logic, and Rudiments of Model Theory, and Volume III covers Finite Algebras and their Clones, Abstract Clone Theory, and the Commutator. These topics are presented in six chapters with independent expositions, but are linked by themes and motifs that run through all three volumes.
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.
Описание: This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves.
Автор: Zimmermann Alexander Название: Characters of Groups and Lattices over Orders ISBN: 3110702436 ISBN-13(EAN): 9783110702439 Издательство: Walter de Gruyter Рейтинг: Цена: 12413.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst defi nitions up to Clifford theory, Brauer's induction theorem and the splitting fi eld theorem, as well as self-dual simple modules allowing bilinear forms. This latter part is done step by step using the approach given by Sin and Willems. Dirichlet characters and Dirichlet's result on primes in arithmetic progressions are given as an application. Examples of integral representations of fi nite groups are already detailed at a quite early stage where appropriate, so that the more systematic treatment of lattices over orders is natural. After that, the necessary number theory and homological algebra is developed as far as needed. Maximal as well as hereditary orders are introduced and the Auslander- Buchsbaum theorem is proved. The Jordan-Zassenhaus theorem on the fi niteness of lattices in a given vector space is fully proved. Then the development and properties of class groups of orders is a fi rst focus. As a further highlight Swan's example of a stably free but not free ideal over the integral group ring of the generalised quaternion group of order 32 is developed in great detail.
A student friendly introduction to ordinary representation theory
Many examples and exercises, including solutions for some of them, make the book well suited for self-study
Leads coherently from ordinary character theory to the integral representation theory of lattices over orders
Several topics appear for the fi rst time in a textbook, such as Sin-Willems' approach to self-dual simple modules and Swan's example of a stably free non free ideal.
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