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Sphere Packings, Lattices and Groups, John Conway; Neil J. A. Sloane


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Автор: John Conway; Neil J. A. Sloane
Название:  Sphere Packings, Lattices and Groups
ISBN: 9781441931344
Издательство: Springer
Классификация:




ISBN-10: 1441931341
Обложка/Формат: Paperback
Страницы: 706
Вес: 1.08 кг.
Дата издания: 01.12.2010
Серия: Grundlehren der mathematischen Wissenschaften
Язык: English
Размер: 234 x 156 x 40
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Lattices and Ordered Algebraic Structures

Автор: T.S. Blyth
Название: Lattices and Ordered Algebraic Structures
ISBN: 1849969558 ISBN-13(EAN): 9781849969550
Издательство: Springer
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Цена: 9776.00 р.
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Описание: "The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization.

Chiral Four-Dimensional Heterotic String Vacua From Covariant Lattices

Автор: Florian Beye
Название: Chiral Four-Dimensional Heterotic String Vacua From Covariant Lattices
ISBN: 9811008027 ISBN-13(EAN): 9789811008023
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book is placed at the interface between string theory and elementary particle physics and shows novel results in the search for a heterotic string vacuum that reproduces those matter particles and interactions observed in our universe. The author provides a systematic classification of potentially realistic heterotic covariant lattice vacua, which possess a lower number of moduli fields when compared to conventional compactification methods, by means of number theoretical methods. These methods, while well known to the mathematics community, have not yet found many applications to physics. They are introduced to the degree necessary to understand the computations carried out throughout this work. Furthermore, explicit covariant lattice models with particularly interesting properties are analyzed in detail. Finally, new light is shed on the relation between covariant lattice models and asymmetric orbifold compactifications, the result being a concrete correspondence between certain types of asymmetric orbifolds and those classified covariant lattices.

Sphere Packings, Lattices and Groups

Автор: Conway
Название: Sphere Packings, Lattices and Groups
ISBN: 0387985859 ISBN-13(EAN): 9780387985855
Издательство: Springer
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Цена: 11313.00 р.
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Описание: With contributions by numerous experts

Quantum Spin Systems on Infinite Lattices

Название: Quantum Spin Systems on Infinite Lattices
ISBN: 3319514563 ISBN-13(EAN): 9783319514567
Издательство: Springer
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Цена: 4890.00 р.
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Описание: This course-based primer offers readers a concise introduction to the description of quantum mechanical systems with infinitely many degrees of freedom - and quantum spin systems in particular - using the operator algebraic approach.

Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups

Автор: Grandis Marco
Название: Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups
ISBN: 9814407062 ISBN-13(EAN): 9789814407069
Издательство: World Scientific Publishing
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Цена: 19008.00 р.
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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.

Semigroups and Their Subsemigroup Lattices

Автор: L.N. Shevrin; A.J. Ovsyannikov
Название: Semigroups and Their Subsemigroup Lattices
ISBN: 0792342216 ISBN-13(EAN): 9780792342212
Издательство: Springer
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Цена: 15372.00 р.
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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.

Theory of Nonlinear Lattices

Автор: Morikazu Toda
Название: Theory of Nonlinear Lattices
ISBN: 3540183272 ISBN-13(EAN): 9783540183273
Издательство: Springer
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Цена: 9141.00 р.
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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.

Varieties of Lattices

Автор: Peter Jipsen; Henry Rose
Название: Varieties of Lattices
ISBN: 3540563148 ISBN-13(EAN): 9783540563143
Издательство: Springer
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Цена: 3487.00 р.
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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.


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