Handbook of Tilting Theory

Handbook of Tilting Theory

Author: Lidia Angeleri Hügel

Publisher: Cambridge University Press

Published: 2007-01-04

Total Pages: 482

ISBN-13: 9780521680455

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A handbook of key articles providing both an introduction and reference for newcomers and experts alike.


Homological Theory of Representations

Homological Theory of Representations

Author: Henning Krause

Publisher: Cambridge University Press

Published: 2021-11-18

Total Pages: 518

ISBN-13: 1108985815

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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.


Algebra and Applications 1

Algebra and Applications 1

Author: Abdenacer Makhlouf

Publisher: John Wiley & Sons

Published: 2021-05-11

Total Pages: 370

ISBN-13: 1789450179

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This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.


Handbook of Medical Imaging

Handbook of Medical Imaging

Author: Jacob Beutel

Publisher: SPIE Press

Published: 2000

Total Pages: 542

ISBN-13: 9780819436214

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This volume describes concurrent engineering developments that affect or are expected to influence future development of digital diagnostic imaging. It also covers current developments in Picture Archiving and Communications System (PACS) technology, with particular emphasis on integration of emerging imaging technologies into the hospital environment.


Generalized Lie Theory in Mathematics, Physics and Beyond

Generalized Lie Theory in Mathematics, Physics and Beyond

Author: Sergei D. Silvestrov

Publisher: Springer Science & Business Media

Published: 2008-11-18

Total Pages: 308

ISBN-13: 3540853324

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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.


Science, Theory and Clinical Application in Orthopaedic Manual Physical Therapy: Applied Science and Theory

Science, Theory and Clinical Application in Orthopaedic Manual Physical Therapy: Applied Science and Theory

Author: Ola Grimsby

Publisher: Lulu.com

Published: 2008-09-16

Total Pages: 558

ISBN-13: 0615254519

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This long awaited textbook from The Ola Grimsby Institute provides decades of clinical experience and reasoning, with both historical and current evidence, with rationale for both passive and active treatments in orthopaedic manual therapy. Practical guidelines for joint mobilization and exercise rehabilitation are presented with this logical and exciting work. Incorporating experience and science, this book provides new approaches and treatment principles to make what you already do more effective. Extensive Content: Over 535 pages and 275 illustrations, photographs and tables Ola Grimsby and his co-authors have compiled a significant resource for the practicing physical therapist, manual therapist or osteopath.


Polynomials and the mod 2 Steenrod Algebra

Polynomials and the mod 2 Steenrod Algebra

Author: Grant Walker

Publisher: Cambridge University Press

Published: 2018

Total Pages: 371

ISBN-13: 1108414486

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The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.


Polynomials and the mod 2 Steenrod Algebra

Polynomials and the mod 2 Steenrod Algebra

Author: Grant Walker (Mathematician)

Publisher: Cambridge University Press

Published: 2018

Total Pages: 381

ISBN-13: 1108414451

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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.