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Sheaves of Algebras over Boolean Spaces comprehensively covers sheaf theory as applied to universal algebra. The text presents intuitive ideas from topology such as the notion of metric space and the concept of central idempotent from ring theory. These lead to the...
Editeur :
Birkhäuser
Parution :
2011-12-16
ePub
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This book is an outgrowth of the special term "Harmonic Analysis, Representation Theory, and Integral Geometry," held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn during the summer of 2007. The contributions...
Editeur :
Birkhäuser
Parution :
2011-12-14
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The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic...
Editeur :
Springer
Parution :
2011-11-17
ePub
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This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac–Moody Lie algebras, modular representations,...
Editeur :
Birkhäuser
Parution :
2011-10-20
PDF, ePub
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The theory of table algebras was introduced in 1991 by Z. Arad and H. Blau in order to treat, in a uniform way, products of conjugacy classes and irreducible characters of finite groups. Today, table algebra theory is a well-established branch of modern algebra with...
Editeur :
Springer
Parution :
2011-07-20
ePub
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Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and...
Editeur :
Wiley-Interscience
Parution :
2011-02-14
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This book can be divided into two parts. The ?rst part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. The raison d’ˆ etre of the book is in the second part, and so let us ?rst explain the contents of the second part. There...
Editeur :
Springer
Parution :
2010-08-09
ePub
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From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice...
Editeur :
Springer
Parution :
2009-11-27
Collection :
Classics in Mathematics
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The purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C). Unlike other treatments of the theory, the approach taken here is to begin with the heat kernel on SL(2,C) associated...
Editeur :
Springer
Parution :
2009-02-20
ePub
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This volume has its origins in the Barcelona Conference in Group Theory (July 2005) and the conference "Asymptotic and Probabilistic Methods in Geometric Group Theory" held in Geneva (June 2005). Twelve peer-reviewed research articles written by experts in the field...
Editeur :
Birkhäuser
Parution :
2007-09-24
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As a natural continuation of the first volume of Algebras, Rings and Modules, this book provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations including the...
Editeur :
Springer
Parution :
2007-09-08
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A functional identity (FI) can be informally described as an identical relation involving(arbitrary)elementsinaringtogetherwith(“unknown”)functions;more precisely,elementsaremultipliedbyvaluesoffunctions.ThegoalofthegeneralFI theory is to determine the form of these...
Editeur :
Birkhäuser
Parution :
2007-08-08
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Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic...
Editeur :
Birkhäuser
Parution :
2007-06-25
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The ?rst aim of this work is to present the main results and methods of the theory of Noetherian semigroup algebras. These general results are then applied and illustrated in the context of certain interesting and important concrete classes of algebras that arise in a...
Editeur :
Springer
Parution :
2007-03-15
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A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a...
Editeur :
Springer
Parution :
2007-03-06
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One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have been hundreds of papers written about...
Editeur :
Springer
Parution :
2006-05-20
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“Viruses don’t harm, ignorance does. Is ignorance a defense?” herm1t “[...] I am convinced that computer viruses are not evil and that programmers have a right to create them, to possess them and to experiment with them ... truth seekers and wise men have been per- ´...
Editeur :
Springer
Parution :
2006-03-30
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Several of the contributions to this volume bring forward many mutually beneficial interactions and connections between the three domains of the title. Developing them was the main purpose of the NATO ASI summerschool held in Montreal in 2003. Although some connections,...
Editeur :
Springer
Parution :
2006-01-18
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Editeur :
Springer
Parution :
2006-01-18
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Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules and ideals. The notion of a module over a ring R is a generalization of that...
Editeur :
Springer
Parution :
2005-11-22
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