Singularities Representation Of Algebras And Vector Bundles

Author : Gert-Martin Greuel
Publisher : Springer
ISBN 13 : 3540478515
Total Pages : 396 pages
Book Rating : 4.15/5 ( download)

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Download or read book Singularities, Representation of Algebras, and Vector Bundles written by Gert-Martin Greuel and published by Springer. This book was released on 2006-11-15 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction. These relations however cannot be considered to be either completely understood or fully exploited. These proceedings document recent developments in the area. The questions and methods of representation theory have applications to singularities and to vector bundles. Representation theory itself, which had primarily developed its methods for Artinian algebras, starts to investigate algebras of higher dimension partly because of these applications. Future research in representation theory may be spurred by the classification of singularities and the highly developed theory of moduli for vector bundles. The volume contains 3 survey articles on the 3 main topics mentioned, stressing their interrelationships, as well as original research papers.

Author : Gert-Martin Greuel
Publisher :
ISBN 13 : 9783662168639
Total Pages : 400 pages
Book Rating : 4.34/5 ( download)

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Download or read book Singularities, Representation of Algebras, and Vector Bundles written by Gert-Martin Greuel and published by . This book was released on 2014-01-15 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Gert-Martin Greuel
Publisher : Springer Verlag
ISBN 13 : 9780387182636
Total Pages : 383 pages
Book Rating : 4.32/5 ( download)

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Download or read book Singularities, Representation of Algebras, and Vector Bundles written by Gert-Martin Greuel and published by Springer Verlag. This book was released on 1987 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : G.M. Greuel
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.68/5 ( download)

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Download or read book Singularities Representation of Algebras and Vector Bundles - Proceedings of a Symposium Held in Lambrecht written by G.M. Greuel and published by . This book was released on 1987 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Moshe S. Livšic
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.81/5 ( download)

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Download or read book Singularities, Representation of Algebras, and Vector Bundles written by Moshe S. Livšic and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Idun Reiten
Publisher : American Mathematical Soc.
ISBN 13 : 9780821808504
Total Pages : 216 pages
Book Rating : 4.08/5 ( download)

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Download or read book Algebras and Modules I written by Idun Reiten and published by American Mathematical Soc.. This book was released on 1998 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys developments in the representation theory of finite dimensional algebras and related topics in seven papers illustrating different techniques developed over the recent years. For graduate students and researchers with a background in commutative algebra, including rings, modules, and homological algebra. Suitable as a text for an advanced graduate course. No index. Member prices are $31 for institutions and $23 for individuals, and are available to members of the Canadian Mathematical Society. Annotation copyrighted by Book News, Inc., Portland, OR

Author : Vlastimil Dlab
Publisher : American Mathematical Soc.
ISBN 13 : 9780821860199
Total Pages : 508 pages
Book Rating : 4.94/5 ( download)

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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 : Vlastimil Dlab
Publisher : American Mathematical Soc.
ISBN 13 : 0821834169
Total Pages : 502 pages
Book Rating : 4.69/5 ( download)

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Download or read book Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on 2004 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ``instructional'' workshop preceding the conference, there were also workshops on ``Commutative Algebra, Algebraic Geometry and Representation Theory'', ``Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ``Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry.

Author : Jerzy Weyman
Publisher : Cambridge University Press
ISBN 13 : 9780521621977
Total Pages : 404 pages
Book Rating : 4.76/5 ( download)

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Download or read book Cohomology of Vector Bundles and Syzygies written by Jerzy Weyman and published by Cambridge University Press. This book was released on 2003-06-09 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this book is an exposition of the geometric technique of calculating syzygies. It is written from a point of view of commutative algebra, and without assuming any knowledge of representation theory the calculation of syzygies of determinantal varieties is explained. The starting point is a definition of Schur functors, and these are discussed from both an algebraic and geometric point of view. Then a chapter on various versions of Bott's Theorem leads on to a careful explanation of the technique itself, based on a description of the direct image of a Koszul complex. Applications to determinantal varieties follow, plus there are also chapters on applications of the technique to rank varieties for symmetric and skew symmetric tensors of arbitrary degree, closures of conjugacy classes of nilpotent matrices, discriminants and resultants. Numerous exercises are included to give the reader insight into how to apply this important method.

Author : Wolfram Decker
Publisher : Springer
ISBN 13 : 3319288296
Total Pages : 396 pages
Book Rating : 4.91/5 ( download)

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Download or read book Singularities and Computer Algebra written by Wolfram Decker and published by Springer. This book was released on 2017-03-29 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra.Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Schönemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists.The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level.