Vector Bundles and Representation Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Vector Bundles and Representation Theory PDF full book. Access full book title Vector Bundles and Representation Theory by Steven Dale Cutkosky. Download full books in PDF and EPUB format.
Author: Steven Dale Cutkosky
Publisher: American Mathematical Soc.
ISBN: 0821832646
Category : Mathematics
Languages : en
Pages : 258
Get Book
Book Description
This volume contains 13 papers from the conference on ``Hilbert Schemes, Vector Bundles and Their Interplay with Representation Theory''. The papers are written by leading mathematicians in algebraic geometry and representation theory and present the latest developments in the field. Among other contributions, the volume includes several very impressive and elegant theorems in representation theory by R. Friedman and J. W. Morgan, convolution on homology groups of moduli spaces of sheaves on K3 surfaces by H. Nakajima, and computation of the $S1$ fixed points in Quot-schemes and mirror principle computations for Grassmanians by S.-T. Yau, et al. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, topology and their applications to high energy physics.
Author: Steven Dale Cutkosky
Publisher: American Mathematical Soc.
ISBN: 0821832646
Category : Mathematics
Languages : en
Pages : 258
Get Book
Book Description
This volume contains 13 papers from the conference on ``Hilbert Schemes, Vector Bundles and Their Interplay with Representation Theory''. The papers are written by leading mathematicians in algebraic geometry and representation theory and present the latest developments in the field. Among other contributions, the volume includes several very impressive and elegant theorems in representation theory by R. Friedman and J. W. Morgan, convolution on homology groups of moduli spaces of sheaves on K3 surfaces by H. Nakajima, and computation of the $S1$ fixed points in Quot-schemes and mirror principle computations for Grassmanians by S.-T. Yau, et al. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, topology and their applications to high energy physics.
Author: David J. Benson
Publisher: Cambridge University Press
ISBN: 1316802736
Category : Mathematics
Languages : en
Pages :
Get Book
Book Description
Questions about modular representation theory of finite groups can often be reduced to elementary abelian subgroups. This is the first book to offer a detailed study of the representation theory of elementary abelian groups, bringing together information from many papers and journals, as well as unpublished research. Special attention is given to recent work on modules of constant Jordan type, and the methods involve producing and examining vector bundles on projective space and their Chern classes. Extensive background material is provided, which will help the reader to understand vector bundles and their Chern classes from an algebraic point of view, and to apply this to modular representation theory of elementary abelian groups. The final section, addressing problems and directions for future research, will also help to stimulate further developments in the subject. With no similar books on the market, this will be an invaluable resource for graduate students and researchers working in representation theory.
Author: Gert-Martin Greuel
Publisher: Springer
ISBN: 3540478515
Category : Mathematics
Languages : en
Pages : 396
Get Book
Book Description
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: Dale Husemöller
Publisher: Springer
ISBN: 354074956X
Category : Mathematics
Languages : en
Pages : 344
Get Book
Book Description
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, comes from quantum field theory, where topological invariants play an important role.
Author: David J. Benson
Publisher:
ISBN: 9781316809303
Category : MATHEMATICS
Languages : en
Pages :
Get Book
Book Description
Author: Gert-Martin Greuel
Publisher:
ISBN: 9783662168639
Category :
Languages : en
Pages : 400
Get Book
Book Description
Author: Gert-Martin Greuel
Publisher: Springer Verlag
ISBN: 9780387182636
Category : Representations of algebras
Languages : en
Pages : 383
Get Book
Book Description
Author: Glenys Luke
Publisher: Springer Science & Business Media
ISBN: 1475769237
Category : Mathematics
Languages : en
Pages : 259
Get Book
Book Description
The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics.
Author: Steve Bradlow
Publisher: Cambridge University Press
ISBN: 0521734711
Category : Mathematics
Languages : en
Pages : 516
Get Book
Book Description
Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Author: Hagen Meltzer
Publisher: American Mathematical Soc.
ISBN: 082183519X
Category : Mathematics
Languages : en
Pages : 139
Get Book
Book Description
This work deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves. We study exceptional vector bundles on weighted projective lines and show in particular that the braid group acts transitively on the set of complete exceptional sequences of such bundles. We further investigate tilting sheaves on weighted projective lines and determine the Auslander-Reiten components of modules over their endomorphism rings. Finally we study tilting complexes in the derived category and present detailed classification results in the case of weighted projective lines of hyperelliptic type.
