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Smooth Quasigroups and Loops
ISBN: 9780792359203 / Angielski / Twarda / 249 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the last twenty-five years quite remarkable relations between nonas sociative algebra and differential geometry have been discovered in our work. Such exotic structures of algebra as quasigroups and loops were obtained from purely geometric structures such as affinely connected spaces. The notion ofodule was introduced as a fundamental algebraic invariant of differential geometry. For any space with an affine connection loopuscular, odular and geoodular structures (partial smooth algebras of a special kind) were introduced and studied. As it happened, the natural geoodular structure of...
During the last twenty-five years quite remarkable relations between nonas sociative algebra and differential geometry have been discovered in our wor...
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The Theory of Classes of Groups
ISBN: 9780792362685 / Angielski / Twarda / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the characteristics of modern algebra is the development of new tools and concepts for exploring classes of algebraic systems, whereas the research on individual algebraic systems (e. g., groups, rings, Lie algebras, etc. ) continues along traditional lines. The early work on classes of alge bras was concerned with showing that one class X of algebraic systems is actually contained in another class F. Modern research into the theory of classes was initiated in the 1930's by Birkhoff's work 1] on general varieties of algebras, and Neumann's work 1] on varieties of groups. A. I....
One of the characteristics of modern algebra is the development of new tools and concepts for exploring classes of algebraic systems, whereas the rese...
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Group Theoretical Methods and Their Applications
ISBN: 9780817635275 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. x system Ib-TEX. I wish to thank her for the beautiful work and the numerous discussions on the contents of this book. I am indebted to Peter Fassler, Neu-Technikum Buchs, Switzerland, for drafting the figures, to my students Kurt Rothermann and Stefan Strahl for computer enhancing and labeling the graphics, to Pascal Felder and Markus Wittwer for a simulation program that generated the figures in the stochastics sections. My thanks go to my new colleague at work, Daniel Neuenschwander, for the inspiring discussions related to the section in stochastics and for reading the manuscript to it. I...
x system Ib-TEX. I wish to thank her for the beautiful work and the numerous discussions on the contents of this book. I am indebted to Peter Fassler,...
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Introduction to the Galois Correspondence
ISBN: 9780817640262 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this presentation of the Galois correspondence, modern theories of groups and fields are used to study problems, some of which date back to the ancient Greeks. The techniques used to solve these problems, rather than the solutions themselves, are of primary importance. The ancient Greeks were concerned with constructibility problems. For example, they tried to determine if it was possible, using straightedge and compass alone, to perform any of the following tasks? (1) Double an arbitrary cube; in particular, construct a cube with volume twice that of the unit cube. (2) Trisect an...
In this presentation of the Galois correspondence, modern theories of groups and fields are used to study problems, some of which date back to the anc...
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Analysis and Geometry on Complex Homogeneous Domains
ISBN: 9780817641382 / Angielski / Twarda / 540 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials. The most basic type of domain examined is the bounded symmetric domain, originally described and classified by Cartan and Harish- Chandra. Two of the five parts of the text deal with these domains: one introduces the subject through the theory of semisimple Lie...
A number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each...
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Exercises in Abelian Group Theory
ISBN: 9781402011832 / Angielski / Twarda / 351 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac- ulty of Mathematics and Computer Science, 'Babes-Bolyai' University in Cluj-Napoca, Romania. From 1992, these lectures were extended to a twosemester electivecourse on abelian groups for undergraduate stu- dents, followed by a twosemester course on the same topic for graduate students in Algebra. All the other authors attended these two years of lectures and are now Assistants to the Chair of Algebra of this Fac- ulty. The first draft of this collection,...
This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac- ulty of Math...
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Groups, Rings, Lie and Hopf Algebras
ISBN: 9781402012204 / Angielski / Twarda / 241 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras," which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications. The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie ... |
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Endomorphism Rings of Abelian Groups
ISBN: 9781402014383 / Angielski / Twarda / 443 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms. Recently the theory of endomor- phism rings of Abelian groups has become a rapidly developing area of algebra. On the one hand, it can be considered as a part of the theory of Abelian groups; on the other hand, the theory can be considered as a branch of the theory of endomorphism rings of modules and the representation theory of rings. There are several reasons for studying endomorphism rings of Abelian groups: first, it makes it possible to acquire additional information...
Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms. Recently the theory of endomor-...
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Finiteness Conditions and Generalized Soluble Groups: Part 2
ISBN: 9783540055723 / Angielski / Twarda / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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Modular Representation Theory: New Trends and Methods
ISBN: 9783540133896 / Angielski / Miękka / 231 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this 1983 Yale graduate course was to make some recent results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. After a short review of background material, three closely connected topics in modular representation theory of finite groups are treated: representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties. The last of these has become a major theme in representation theory into the 21st century. Some of this material was... The aim of this 1983 Yale graduate course was to make some recent results in modular representation theory accessible to an audience ranging from s... |
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The Geometry of Jordan and Lie Structures
ISBN: 9783540414261 / Angielski / Miękka / 274 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 0. In this work of we the Lie- and Jordan on an study interplay theory and ona level.Weintendtocontinue ittoa algebraic geometric systematicstudy ofthe role Jordan inharmonic In the of theoryplays analysis. fact, applications the of Jordan to theharmonic on cones theory algebras analysis symmetric (cf. of the wereatthe theauthor'sworkinthisarea. Then monograph FK94]) origin Jordan in of turned the causal algebras up study many symmetric (see spaces Section and clearthat all soon itbecame XI.3), "generically" symmetric spaces have Since a relation toJordan Jordan does not significant theory....
0. In this work of we the Lie- and Jordan on an study interplay theory and ona level.Weintendtocontinue ittoa algebraic geometric systematicstudy ofth...
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Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations
ISBN: 9783540437826 / Angielski / Miękka / 354 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the past decades, such as Hopf modules, graded modules, Yetter-Drinfeld modules. The book presents a unified theory, with focus on categorical concepts generalizing the notions of separable and Frobenius algebras, and discussing relations with smash products, Galois theory and descent theory. Each chapter of Part II is devoted to a particular nonlinear equation. The expose is organized in such a way that the analogies between the four are clear: the quantum Yang-Baxter...
Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the past decades, such as Hopf m...
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Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra
ISBN: 9783540439516 / Angielski / Miękka / 274 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present book is devoted to a study of relative Prufer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of...
The present book is devoted to a study of relative Prufer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one w...
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Hilbert Modular Forms
ISBN: 9783540505860 / Angielski / Twarda / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. In recent times, this branch of number theory has been given more and more attention and thus the need for a comprehensive presentation of these results, previously scattered in research journal papers, has become obvious. The main aim of this book is to give a description of the singular cohomology and its Hodge decomposition including explicit formulae. The author has succeeded in giving proofs which are both elementary and complete.
Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. In recent times, this branch of nu...
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Notes on Infinite Permutation Groups
ISBN: 9783540649656 / Angielski / Miękka / 206 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite...
The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups ...
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Representation Theory of Finite Groups and Finite-Dimensional Algebras: Proceedings of the Conference at the University of Bielefeld from May 15-17, 1
ISBN: 9783764326043 / Angielski / Twarda / 522 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di mensional Algebras." The proposal for this project was submitted by B. Huppert (Mainz), B. Fischer (Bielefeld), G. Michler (Essen), H. Pahlings (Aachen) and C. M. Ringel (Bielefeld) in order to strengthen the interaction between the different re search areas in representation theory. The Deutsche Forschungsgemeinschaft has given many research positions and fellowships for young algebraists enabling them to do research at their own uni...
From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Fini...
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Topics in Combinatorial Group Theory
ISBN: 9783764329211 / Angielski / Miękka / 170 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. This title features notes that deals with many topics in combinatorial group theory.
Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. The objective of combinatorial group theory is ...
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Subgroup Growth
ISBN: 9783764369897 / Angielski / Twarda / 453 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged. Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in... |
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The Fourfold Way in Real Analysis: An Alternative to the Metaplectic Representation
ISBN: 9783764375447 / Angielski / Twarda / 222 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The n-dimensionalmetaplectic groupSp(n, R) is the twofoldcoverof the sympl- n n tic group Sp(n, R), which is the group of linear transformations ofX = R xR that preserve the bilinear (alternate) form x y ( ), ( )] =? x, ? + y, ? . (0. 1) ? ? 2 n There is a unitary representation of Sp(n, R)intheHilbertspace L (R ), called the metaplectic representation, the image of which is the groupof transformations generated by the following ones: the linear changes of variables, the operators of multiplication by exponentials with pure imaginary quadratic forms in the ex- nent, and the Fourier...
The n-dimensionalmetaplectic groupSp(n, R) is the twofoldcoverof the sympl- n n tic group Sp(n, R), which is the group of linear transformations ofX =...
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Groups of Divisibility
ISBN: 9789027715395 / Angielski / Twarda / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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