Tame Algebras and Integral Quadratic Forms

Tame Algebras and Integral Quadratic Forms PDF Author: Claus M. Ringel
Publisher: Springer
ISBN: 3540391274
Category : Mathematics
Languages : en
Pages : 390

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Book Description

Tame Algebras and Integral Quadratic Forms

Tame Algebras and Integral Quadratic Forms PDF Author: Claus M. Ringel
Publisher: Springer
ISBN: 3540391274
Category : Mathematics
Languages : en
Pages : 390

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Book Description


Tame Algebras and Integral Quadratic Forms

Tame Algebras and Integral Quadratic Forms PDF Author: Claus Michael Ringel
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 400

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Ternary Quadratic Forms and Norms

Ternary Quadratic Forms and Norms PDF Author: O. Taussky
Publisher: CRC Press
ISBN: 1000116808
Category : Mathematics
Languages : en
Pages : 152

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Book Description
This book covers topics including the Redei-Reichardt theorem, automorphs of ternary quadratic forms, facts concerning rational matrices leading to integral ternary forms representing zero, characteristics polynomials of symmetric matrices, and Gauss' theory of ternary quadratic forms.

Representation Theory of Finite Groups and Finite-Dimensional Algebras

Representation Theory of Finite Groups and Finite-Dimensional Algebras PDF Author: Michler
Publisher: Birkhäuser
ISBN: 3034886586
Category : Mathematics
Languages : en
Pages : 526

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Book Description
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 versities or as visitors at well known research institutions in America, Australia, England and France. The whole project benefitted very much from an extensive exchange programme between German and American scientists sponsored by the Deutsche Forschungsgemeinschaft and by the National Science Foundation of the United States. This volume presents lectures given in a final conference and reports by members of the project. It is divided into two parts. The first part contains seven survey articles describing recent advances in different areas of representation theory. These articles do not only concentrate on the work done by the German research groups, but also inform on major developments of the subject at all. The volume omits those topics already treated in book form. In particular, it does not contain a survey on K.

Quadratic Forms

Quadratic Forms PDF Author: Michael Barot
Publisher: Springer
ISBN: 3030056279
Category : Mathematics
Languages : en
Pages : 220

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Book Description
This monograph presents combinatorial and numerical issues on integral quadratic forms as originally obtained in the context of representation theory of algebras and derived categories. Some of these beautiful results remain practically unknown to students and scholars, and are scattered in papers written between 1970 and the present day. Besides the many classical results, the book also encompasses a few new results and generalizations. The material presented will appeal to a wide group of researchers (in representation theory of algebras, Lie theory, number theory and graph theory) and, due to its accessible nature and the many exercises provided, also to undergraduate and graduate students with a solid foundation in linear algebra and some familiarity on graph theory.

Representations of Algebras and Related Topics

Representations of Algebras and Related Topics PDF Author: Andrzej Skowroński
Publisher: European Mathematical Society
ISBN: 9783037191019
Category : Algebra
Languages : en
Pages : 744

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Book Description
This book, which explores recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, combinatorics, quantum algebras, and theoretical field, is conceived as a handbook to provide easy access to the present state of knowledge and stimulate further development. The many topics discussed include quivers, quivers with potential, bound quiver algebras, Jacobian algebras, cluster algebras and categories, Calabi-Yau algebras and categories, triangulated and derived categories, and quantum loop algebras. This book consists of thirteen self-contained expository survey and research articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. The articles contain a large number of examples and open problems and give new perspectives for research in the field.

Trends in Ring Theory

Trends in Ring Theory PDF Author: Vlastimil Dlab
Publisher: American Mathematical Soc.
ISBN: 9780821808498
Category : Rings (Algebra)
Languages : en
Pages : 284

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Book Description
The Ring Theory Conference, held a the University of Miskolc, Hungary, successfully accomplished its two goals: to reflect contemporary trends in the subject area; and to offer a meeting place for a large number of Eastern European algebraists and their colleagues from around the world. Particular emphasis was placed on recent developments in the following four areas: representation theory, group algebras, PI algebras and general ring theory. This book presents 13 of the invited lectures.

Representations of Algebras

Representations of Algebras PDF Author: Vlastimil Dlab
Publisher: American Mathematical Soc.
ISBN: 9780821860199
Category : Mathematics
Languages : en
Pages : 508

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Book Description
The Sixth International Conference on Representations of Algebras was held at Carleton University in Ottawa, Canada, in August 1992. This refereed volume contains papers presented at the conference, as well as a number of papers submitted after the conference. Describing developments at the forefront of the field, this book will be of interest to algebraists working in the field of representation theory.

Featured Reviews in Mathematical Reviews 1997-1999

Featured Reviews in Mathematical Reviews 1997-1999 PDF Author: Donald G. Babbitt
Publisher: American Mathematical Soc.
ISBN: 9780821896709
Category : Mathematics
Languages : en
Pages : 762

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Book Description
This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.

Rational Quadratic Forms

Rational Quadratic Forms PDF Author: J. W. S. Cassels
Publisher: Courier Dover Publications
ISBN: 0486466701
Category : Mathematics
Languages : en
Pages : 429

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Book Description
Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.