Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts alike.
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'... presents a key and very active part of contemporary representation theory in a concise but complete way. It will be indispensible for a wide audience, from graduate students to active researchers in algebra, geometry and topology.' European Mathematical Society Newsletter
'In my view, the editors have succeeded in choosing a balanced selection of topics and in finding appropriate authors for the various sections. The book is seeded with a plenitude of references and will certainly be a valuable guide both for established researchers and newcomers to the field.' Bulletin of the London Mathematical Society
'In my view, the editors have succeeded in choosing a balanced selection of topics and in finding appropriate authors for the various sections. The book is seeded with a plenitude of references and will certainly be a valuable guide both for established researchers and newcomers to the field.' Bulletin of the London Mathematical Society
Book Description
The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts alike.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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cotorsion pair, cotilting modules, stratified algebras, abelian defect group conjecture, costandard filtration, tilted algebras, cotilting classes, exceptional modules, quasihereditary algebras, splendid tilting complex, cotilting theorem, pair cogenerated, cofinite type, hereditary artin algebra, cluster algebras, tilting theory, finite resolving subcategories, generalized flop, minimal injective coresolution, tilting functors, cotilting bimodule, stable model categories, finite subcategories, tilting object, inertial quotients Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, New York, Jeremy Rickard, Andrei Marcus, Cambridge University Press, Pure Appl, Bernhard Keller, Raphael Rouquier, Naoko Kunugi, Dieter Happel, Markus Linckelmann, Yoko Usami, Manuscripta Math, Forum Math, Tetsuro Okuyama, Carleton Univ, Lluís Puig, Academic Press, Compositio Math, Eilenberg-Mac Lane, Michel Broué, Second Internat, Katsushi Waki, Atumi Watanabe, École Norm New!
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cotorsion pair, cotilting modules, stratified algebras, abelian defect group conjecture, costandard filtration, tilted algebras, cotilting classes, exceptional modules, quasihereditary algebras, splendid tilting complex, cotilting theorem, pair cogenerated, cofinite type, hereditary artin algebra, cluster algebras, tilting theory, finite resolving subcategories, generalized flop, minimal injective coresolution, tilting functors, cotilting bimodule, stable model categories, finite subcategories, tilting object, inertial quotients Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, New York, Jeremy Rickard, Andrei Marcus, Cambridge University Press, Pure Appl, Bernhard Keller, Raphael Rouquier, Naoko Kunugi, Dieter Happel, Markus Linckelmann, Yoko Usami, Manuscripta Math, Forum Math, Tetsuro Okuyama, Carleton Univ, Lluís Puig, Academic Press, Compositio Math, Eilenberg-Mac Lane, Michel Broué, Second Internat, Katsushi Waki, Atumi Watanabe, École Norm New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 37
books:
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3
books
cite this book:
- Representations of Algebras and Related Topics (London Mathematical Society Lecture Note Series) by H. Tachikawa on page 212, and page 255
- Approximations and Endomorphism Algebras of Modules (De Gruyter Expositions in Mathematics 41) by Ruediger Goebel on page 319
- Relative Homological Algebra (Degruyter Expositions in Mathematics) by Edgar E. Enochs on page 318
- Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series) by Ivan Cherednik in Front Matter
- Corings and Comodules (London Mathematical Society Lecture Note Series) by Tomasz Brzezinski in Front Matter
See all 37 books this book cites
- Groups St Andrews 2005: Volume 1 (London Mathematical Society Lecture Note Series) by C. M. Campbell in Front Matter
- Groups St Andrews 2005: Volume 2 (London Mathematical Society Lecture Note Series) by C. M. Campbell in Front Matter
- Ranks of Elliptic Curves and Random Matrix Theory (London Mathematical Society Lecture Note Series) by J. B. Conrey in Front Matter
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