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Author : Petter Andreas Bergh
Publisher : Springer Nature
ISBN 13 : 3031577892
Total Pages : 275 pages
Book Rating : 4.0/5 (315 download)
Download or read book Triangulated Categories in Representation Theory and Beyond written by Petter Andreas Bergh and published by Springer Nature. This book was released on with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Petter Andreas Bergh
Publisher : Springer
ISBN 13 : 9783031577888
Total Pages : 0 pages
Book Rating : 4.5/5 (778 download)
Download or read book Triangulated Categories in Representation Theory and Beyond written by Petter Andreas Bergh and published by Springer. This book was released on 2024-08-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, triangulated categories have proved very successful as a common mathematical framework for formulating important advances in various fields, and at the same time for the interaction between different subject areas. The purpose of the symposium was therefore not only the study of triangulated categories in itself, but rather fruitful exchanges between disciplines. The symposium brought together established researchers who have made important contributions involving triangulated categories. Many participants came from representation theory, but there were also participants with backgrounds in commutative algebra, geometry and algebraic topology.
Author : Jan Šťovíček
Publisher : American Mathematical Soc.
ISBN 13 : 147045131X
Total Pages : 298 pages
Book Rating : 4.4/5 (74 download)
Download or read book Representation Theory and Beyond written by Jan Šťovíček and published by American Mathematical Soc.. This book was released on 2020-11-13 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic. It presents several themes of contemporary representation theory together with some new tools, such as stable ∞ ∞-categories, stable derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory. The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.
Author : Henning Krause
Publisher : Cambridge University Press
ISBN 13 : 1108985815
Total Pages : 518 pages
Book Rating : 4.1/5 (89 download)
Download or read book Homological Theory of Representations written by Henning Krause and published by Cambridge University Press. This book was released on 2021-11-18 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their power and beauty. Categorical foundations include abelian and derived categories, with an emphasis on localisation, spectra, and purity. The representation theoretic focus is on module categories of Artin algebras, with discussions of the representation theory of finite groups and finite quivers. Also covered are Gorenstein and quasi-hereditary algebras, including Schur algebras, which model polynomial representations of general linear groups, and the Morita theory of derived categories via tilting objects. The final part is devoted to a systematic introduction to the theory of purity for locally finitely presented categories, covering pure-injectives, definable subcategories, and Ziegler spectra. With its clear, detailed exposition of important topics in modern representation theory, many of which were unavailable in one volume until now, it deserves a place in every representation theorist's library.
Author : Martin Hauge
Publisher :
ISBN 13 :
Total Pages : 109 pages
Book Rating : 4.:/5 (15 download)
Download or read book Triangulated Categories in Modular Representation Theory and Their Direct Sum Decompositions written by Martin Hauge and published by . This book was released on 2017 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vic Kowalenko
Publisher : Cambridge University Press
ISBN 13 : 9780521497985
Total Pages : 146 pages
Book Rating : 4.4/5 (979 download)
Download or read book Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders written by Vic Kowalenko and published by Cambridge University Press. This book was released on 1995-09-14 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.
Author : Haynes Miller
Publisher : CRC Press
ISBN 13 : 1351251619
Total Pages : 982 pages
Book Rating : 4.3/5 (512 download)
Download or read book Handbook of Homotopy Theory written by Haynes Miller and published by CRC Press. This book was released on 2020-01-23 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
Author : Peter Webb
Publisher : Cambridge University Press
ISBN 13 : 1107162394
Total Pages : 339 pages
Book Rating : 4.1/5 (71 download)
Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
Author : Thorsten Holm
Publisher :
ISBN 13 : 9781139127387
Total Pages : 472 pages
Book Rating : 4.1/5 (273 download)
Download or read book Triangulated Categories written by Thorsten Holm and published by . This book was released on 2014-05-14 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 2010 collection of survey articles by leading experts on various aspects of triangulated categories.
Author : Rajendra Bhatia
Publisher : World Scientific
ISBN 13 : 9814462934
Total Pages : 4137 pages
Book Rating : 4.8/5 (144 download)
Download or read book Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures written by Rajendra Bhatia and published by World Scientific. This book was released on 2011-06-06 with total page 4137 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.
Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1191 pages
Book Rating : 4./5 ( download)
Download or read book written by and published by World Scientific. This book was released on with total page 1191 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Asim Orhan Barut
Publisher : World Scientific
ISBN 13 : 9789971502171
Total Pages : 750 pages
Book Rating : 4.5/5 (21 download)
Download or read book Theory of Group Representations and Applications written by Asim Orhan Barut and published by World Scientific. This book was released on 1986 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie!algebras - Topological!groups - Lie!groups - Representations - Special!functions - Induced!representations.
Author : Tullio Ceccherini-Silberstein
Publisher : Cambridge University Press
ISBN 13 : 1107729912
Total Pages : 177 pages
Book Rating : 4.1/5 (77 download)
Download or read book Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups written by Tullio Ceccherini-Silberstein and published by Cambridge University Press. This book was released on 2014-01-16 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath product of two symmetric groups. This relies on the generalised Johnson scheme, a new construction of finite Gelfand pairs. The exposition is completely self-contained and accessible to anyone with a basic knowledge of representation theory. Plenty of worked examples and several exercises are provided, making this volume an ideal textbook for graduate students. It also represents a useful reference for more experienced researchers.
Author : Hans J. Baues
Publisher : Cambridge University Press
ISBN 13 : 9780521531030
Total Pages : 204 pages
Book Rating : 4.5/5 (31 download)
Download or read book The Homotopy Category of Simply Connected 4-Manifolds written by Hans J. Baues and published by Cambridge University Press. This book was released on 2003-04-03 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homotopy of 4-manifolds for researchers and graduate students.
Author : Masaki Kashiwara
Publisher : Springer Science & Business Media
ISBN 13 : 3540279504
Total Pages : 496 pages
Book Rating : 4.5/5 (42 download)
Download or read book Categories and Sheaves written by Masaki Kashiwara and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.
Author : Miles Reid
Publisher : Cambridge University Press
ISBN 13 : 9780521545181
Total Pages : 312 pages
Book Rating : 4.5/5 (451 download)
Download or read book Number Theory and Algebraic Geometry written by Miles Reid and published by Cambridge University Press. This book was released on 2003 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.
Author : Yair N. Minsky
Publisher : Cambridge University Press
ISBN 13 : 1139447211
Total Pages : 399 pages
Book Rating : 4.1/5 (394 download)
Download or read book Spaces of Kleinian Groups written by Yair N. Minsky and published by Cambridge University Press. This book was released on 2006-06-19 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development. This volume contains important expositions on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory and computer explorations. Researchers in these and related areas will find much of interest here.
