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Author : Claus M. Ringel
Publisher : Springer
ISBN 13 : 3540391274
Total Pages : 390 pages
Book Rating : 4.5/5 (43 download)
Download or read book Tame Algebras and Integral Quadratic Forms written by Claus M. Ringel and published by Springer. This book was released on 2006-11-14 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claus Michael Ringel
Publisher : Springer
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)
Download or read book Tame Algebras and Integral Quadratic Forms written by Claus Michael Ringel and published by Springer. This book was released on 1984 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : O. Taussky
Publisher : CRC Press
ISBN 13 : 1000116808
Total Pages : 152 pages
Book Rating : 4.0/5 (1 download)
Download or read book Ternary Quadratic Forms and Norms written by O. Taussky and published by CRC Press. This book was released on 2020-12-17 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Michler
Publisher : Birkhäuser
ISBN 13 : 3034886586
Total Pages : 526 pages
Book Rating : 4.0/5 (348 download)
Download or read book Representation Theory of Finite Groups and Finite-Dimensional Algebras written by Michler and published by Birkhäuser. This book was released on 2012-12-06 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Michael Barot
Publisher : Springer
ISBN 13 : 3030056279
Total Pages : 220 pages
Book Rating : 4.0/5 (3 download)
Download or read book Quadratic Forms written by Michael Barot and published by Springer. This book was released on 2019-01-28 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Andrzej Skowroński
Publisher : European Mathematical Society
ISBN 13 : 9783037191019
Total Pages : 744 pages
Book Rating : 4.1/5 (91 download)
Download or read book Representations of Algebras and Related Topics written by Andrzej Skowroński and published by European Mathematical Society. This book was released on 2011 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Vlastimil Dlab
Publisher : American Mathematical Soc.
ISBN 13 : 9780821808498
Total Pages : 284 pages
Book Rating : 4.8/5 (84 download)
Download or read book Trends in Ring Theory written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on 1998 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Vlastimil Dlab
Publisher : American Mathematical Soc.
ISBN 13 : 9780821860199
Total Pages : 508 pages
Book Rating : 4.8/5 (61 download)
Download or read book Representations of Algebras written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on 1993 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Donald G. Babbitt
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896709
Total Pages : 762 pages
Book Rating : 4.8/5 (967 download)
Download or read book Featured Reviews in Mathematical Reviews 1997-1999 written by Donald G. Babbitt and published by American Mathematical Soc.. This book was released on 2000-05-05 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : J. W. S. Cassels
Publisher : Courier Dover Publications
ISBN 13 : 0486466701
Total Pages : 429 pages
Book Rating : 4.4/5 (864 download)
Download or read book Rational Quadratic Forms written by J. W. S. Cassels and published by Courier Dover Publications. This book was released on 2008-08-08 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Alberto Facchini
Publisher : CRC Press
ISBN 13 : 9780824750817
Total Pages : 530 pages
Book Rating : 4.7/5 (58 download)
Download or read book Rings, Modules, Algebras, and Abelian Groups written by Alberto Facchini and published by CRC Press. This book was released on 2020-02-10 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological
Author : Alexander J. Hahn
Publisher : Springer Science & Business Media
ISBN 13 : 146846311X
Total Pages : 296 pages
Book Rating : 4.4/5 (684 download)
Download or read book Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups written by Alexander J. Hahn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quadratic Algebras, Clifford Algebras, and Arithmetic Forms introduces mathematicians to the large and dynamic area of algebras and forms over commutative rings. The book begins very elementary and progresses gradually in its degree of difficulty. Topics include the connection between quadratic algebras, Clifford algebras and quadratic forms, Brauer groups, the matrix theory of Clifford algebras over fields, Witt groups of quadratic and symmetric bilinear forms. Some of the new results included by the author concern the representation of Clifford algebras, the structure of Arf algebra in the free case, connections between the group of isomorphic classes of finitely generated projectives of rank one and arithmetic results about the quadratic Witt group.
Author : Peter Gabriel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540537328
Total Pages : 190 pages
Book Rating : 4.5/5 (373 download)
Download or read book Representations of Finite-Dimensional Algebras written by Peter Gabriel and published by Springer Science & Business Media. This book was released on 1992-10-08 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette
Author : Lidia Angeleri Hügel
Publisher : Cambridge University Press
ISBN 13 : 9780521680455
Total Pages : 482 pages
Book Rating : 4.6/5 (84 download)
Download or read book Handbook of Tilting Theory written by Lidia Angeleri Hügel and published by Cambridge University Press. This book was released on 2007-01-04 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: A handbook of key articles providing both an introduction and reference for newcomers and experts alike.
Author : Onorato Timothy O’Meara
Publisher : Springer
ISBN 13 : 366241922X
Total Pages : 354 pages
Book Rating : 4.6/5 (624 download)
Download or read book Introduction to Quadratic Forms written by Onorato Timothy O’Meara and published by Springer. This book was released on 2013-12-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : José-Antonio de la Peña
Publisher : Springer Nature
ISBN 13 : 3031122887
Total Pages : 240 pages
Book Rating : 4.0/5 (311 download)
Download or read book Representations of Algebras written by José-Antonio de la Peña and published by Springer Nature. This book was released on 2022-10-22 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an original introduction to the representation theory of algebras, suitable for beginning researchers in algebra. It includes many results and techniques not usually covered in introductory books, some of which appear here for the first time in book form. The exposition employs methods from linear algebra (spectral methods and quadratic forms), as well as categorical and homological methods (module categories, Galois coverings, Hochschild cohomology) to present classical aspects of ring theory under new light. This includes topics such as rings with several objects, the Harada–Sai lemma, chain conditions, and Auslander–Reiten theory. Noteworthy and significant results covered in the book include the Brauer–Thrall conjectures, Drozd’s theorem, and criteria to distinguish tame from wild algebras. This text may serve as the basis for a second graduate course in algebra or as an introduction to research in the field of representation theory of algebras. The originality of the exposition and the wealth of topics covered also make it a valuable resource for more established researchers.
Author : Raymundo Bautista
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803967
Total Pages : 428 pages
Book Rating : 4.8/5 (39 download)
Download or read book Representation Theory of Algebras and Related Topics written by Raymundo Bautista and published by American Mathematical Soc.. This book was released on 1996 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings report a number of lecture series delivered during the Workshop on Representation Theory of Algebras and Related Topics held at Universidad Nacional Autonoma de Mexico (UNAM) in August 1994. The workshop was dedicated to recent advances in the field and its interaction with other areas of mathematics, such as algebraic geometry, ring theory, and representation of groups. The program of the Workshop consisted of 9 lecture series. In addition there was a Tame Day consisting of 6 lectures reporting on the recent advances in the study of tame algebras and their module categories. During the Workshop there was a session devoted to the exhibition of computer programs developed by participants. These programs are implementations of algorithms related to the calculation of important aspects of algebras and their module categories.
