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| Author | : Lidia Angeleri Hügel |
| Publisher | : Cambridge University Press |
| Total Pages | : 482 |
| Release | : 2007-01-04 |
| Genre | : Mathematics |
| ISBN | : 9780521680455 |
A handbook of key articles providing both an introduction and reference for newcomers and experts alike.
| Author | : Henning Krause |
| Publisher | : Cambridge University Press |
| Total Pages | : 518 |
| Release | : 2021-11-18 |
| Genre | : Mathematics |
| ISBN | : 1108985815 |
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 | : Sergei D. Silvestrov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 308 |
| Release | : 2008-11-18 |
| Genre | : Mathematics |
| ISBN | : 3540853324 |
This book explores the cutting edge of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics.
| Author | : Meherwan P. Boyce |
| Publisher | : Elsevier |
| Total Pages | : 956 |
| Release | : 2017-09-01 |
| Genre | : Mathematics |
| ISBN | : 0080456898 |
The Gas Turbine Engineering Handbook has been the standard for engineers involved in the design, selection, and operation of gas turbines. This revision includes new case histories, the latest techniques, and new designs to comply with recently passed legislation. By keeping the book up to date with new, emerging topics, Boyce ensures that this book will remain the standard and most widely used book in this field. The new Third Edition of the Gas Turbine Engineering Hand Book updates the book to cover the new generation of Advanced gas Turbines. It examines the benefit and some of the major problems that have been encountered by these new turbines. The book keeps abreast of the environmental changes and the industries answer to these new regulations. A new chapter on case histories has been added to enable the engineer in the field to keep abreast of problems that are being encountered and the solutions that have resulted in solving them. Comprehensive treatment of Gas Turbines from Design to Operation and Maintenance. In depth treatment of Compressors with emphasis on surge, rotating stall, and choke; Combustors with emphasis on Dry Low NOx Combustors; and Turbines with emphasis on Metallurgy and new cooling schemes. An excellent introductory book for the student and field engineers A special maintenance section dealing with the advanced gas turbines, and special diagnostic charts have been provided that will enable the reader to troubleshoot problems he encounters in the field The third edition consists of many Case Histories of Gas Turbine problems. This should enable the field engineer to avoid some of these same generic problems
| Author | : Raf Bocklandt |
| Publisher | : Cambridge University Press |
| Total Pages | : 404 |
| Release | : 2021-08-19 |
| Genre | : Mathematics |
| ISBN | : 1108644112 |
Homological mirror symmetry has its origins in theoretical physics but is now of great interest in mathematics due to the deep connections it reveals between different areas of geometry and algebra. This book offers a self-contained and accessible introduction to the subject via the representation theory of algebras and quivers. It is suitable for graduate students and others without a great deal of background in homological algebra and modern geometry. Each part offers a different perspective on homological mirror symmetry. Part I introduces the A-infinity formalism and offers a glimpse of mirror symmetry using representations of quivers. Part II discusses various A- and B-models in mirror symmetry and their connections through toric and tropical geometry. Part III deals with mirror symmetry for Riemann surfaces. The main mathematical ideas are illustrated by means of simple examples coming mainly from the theory of surfaces, helping the reader connect theory with intuition.
| Author | : James C. Robinson |
| Publisher | : Cambridge University Press |
| Total Pages | : 270 |
| Release | : 2009-07-16 |
| Genre | : Mathematics |
| ISBN | : 052112512X |
Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.
| Author | : Grant Walker |
| Publisher | : Cambridge University Press |
| Total Pages | : 371 |
| Release | : 2018 |
| Genre | : Mathematics |
| ISBN | : 1108414486 |
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
| Author | : Grant Walker (Mathematician) |
| Publisher | : Cambridge University Press |
| Total Pages | : 381 |
| Release | : 2018 |
| Genre | : Polynomials |
| ISBN | : 1108414451 |
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
| Author | : John Coates |
| Publisher | : Cambridge University Press |
| Total Pages | : 317 |
| Release | : 2015-03-19 |
| Genre | : Mathematics |
| ISBN | : 1316241300 |
There are still many arithmetic mysteries surrounding the values of the Riemann zeta function at the odd positive integers greater than one. For example, the matter of their irrationality, let alone transcendence, remains largely unknown. However, by extending ideas of Garland, Borel proved that these values are related to the higher K-theory of the ring of integers. Shortly afterwards, Bloch and Kato proposed a Tamagawa number-type conjecture for these values, and showed that it would follow from a result in motivic cohomology which was unknown at the time. This vital result from motivic cohomology was subsequently proven by Huber, Kings, and Wildeshaus. Bringing together key results from K-theory, motivic cohomology, and Iwasawa theory, this book is the first to give a complete proof, accessible to graduate students, of the Bloch–Kato conjecture for odd positive integers. It includes a new account of the results from motivic cohomology by Huber and Kings.
| Author | : Anders Claesson |
| Publisher | : Cambridge University Press |
| Total Pages | : 451 |
| Release | : 2017-06-30 |
| Genre | : Mathematics |
| ISBN | : 1108350356 |
This volume contains nine survey articles which provide expanded accounts of plenary seminars given at the British Combinatorial Conference at the University of Strathclyde in July 2017. This biennial conference is a well-established international event attracting speakers from around the world. Written by internationally recognised experts in the field, these articles represent a timely snapshot of the state of the art in the different areas of combinatorics. Topics covered include the robustness of graph properties, the spt-function of Andrews, switching techniques for edge decompositions of graphs, monotone cellular automata, and applications of relative entropy in additive combinatorics. The book will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.
