Representation

Author : Martin Lorenz
Publisher : American Mathematical Soc.
ISBN 13 : 1470436809
Total Pages : 654 pages
Book Rating : 4.03/5 ( download)

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Download or read book A Tour of Representation Theory written by Martin Lorenz and published by American Mathematical Soc.. This book was released on 2018 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representation theory investigates the different ways in which a given algebraic object--such as a group or a Lie algebra--can act on a vector space. Besides being a subject of great intrinsic beauty, the theory enjoys the additional benefit of having applications in myriad contexts outside pure mathematics, including quantum field theory and the study of molecules in chemistry. Adopting a panoramic viewpoint, this book offers an introduction to four different flavors of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate part of the book is devoted to each of these areas and they are all treated in sufficient depth to enable and hopefully entice the reader to pursue research in representation theory. The book is intended as a textbook for a course on representation theory, which could immediately follow the standard graduate abstract algebra course, and for subsequent more advanced reading courses. Therefore, more than 350 exercises at various levels of difficulty are included. The broad range of topics covered will also make the text a valuable reference for researchers in algebra and related areas and a source for graduate and postgraduate students wishing to learn more about representation theory by self-study.

Author : Stuart Hall
Publisher : SAGE
ISBN 13 : 9780761954323
Total Pages : 422 pages
Book Rating : 4.25/5 ( download)

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Download or read book Representation written by Stuart Hall and published by SAGE. This book was released on 1997-04-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This broad-ranging text offers a comprehensive outline of how visual images, language and discourse work as `systems of representation'. Individual chapters explore: representation as a signifying practice in a rich diversity of social contexts and institutional sites; the use of photography in the construction of national identity and culture; other cultures in ethnographic museums; fantasies of the racialized `Other' in popular media, film and image; the construction of masculine identities in discourses of consumer culture and advertising; and the gendering of narratives in television soap operas.

Author : Fred Keijzer
Publisher : MIT Press
ISBN 13 : 0262263327
Total Pages : 289 pages
Book Rating : 4.20/5 ( download)

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Download or read book Representation and Behavior written by Fred Keijzer and published by MIT Press. This book was released on 2001-02-12 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keijzer provides a reconstruction of cognitive science's implicit representational explanation of behavior, which he calls Agent Theory (AT), the use of mind as a subpersonal mechanism of behavior. Representation is a fundamental concept within cognitive science. Most often, representations are interpreted as mental representations, theoretical entities that are the bearers of meaning and the source of intentionality. This approach views representation as the internal reflection of external circumstances—that is, as the end station of sensory processes that translate the environmental state of affairs into a set of mental representations. Fred Keijzer stresses, however, that representations are also the starting point for a set of processes that lead back to the external environment. They are used as theoretical components within an explanation of a person's outwardly visible behavior. In this book Keijzer investigates the usefulness of representation for behavioral explanation, irrespective of mental issues. Viewing representation solely in terms of its contribution to explaining behavior allows him to build a serious case for a nonrepresentational approach and to evaluate representation's role in cognitive science. Keijzer provides a reconstruction of cognitive science's implicit representational explanation of behavior, which he calls Agent Theory (AT). AT is the use of mind as a subpersonal mechanism of behavior. He proposes an alternative to AT called Behavioral Systems Theory (BST), which explains behavior as the result of interactions between an organism and its environment. Keijzer compares BST to related work in the biology of cognition, in the building of animal-like robots, and in dynamical systems theory. Most important, he extends BST to the difficult issue of anticipatory behavior through an analogy between behavior and morphogenesis, the process by which a multicellular body develops.

Author : Hanna F. Pitkin
Publisher : Univ of California Press
ISBN 13 : 9780520021563
Total Pages : 340 pages
Book Rating : 4.68/5 ( download)

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Download or read book The Concept of Representation written by Hanna F. Pitkin and published by Univ of California Press. This book was released on 1967 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arises out of Hannah Pitkin's doctoral dissertation and is considered by political scientists to be the gold standard in terms of a philosophical treatment of the subject. Pitkin covers the historical evolution of thinking about representation from the Greeks through the founding of the American republic highlighting diverse thinkers and politicians like Edmund Burke, Jeremy Bentham, and James Madison as well as more contemporary scholars like Robert Dahl and Charles Lindblom.

Author : Donald Peterson
Publisher : Intellect (UK)
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.01/5 ( download)

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Download or read book Forms of Representation written by Donald Peterson and published by Intellect (UK). This book was released on 1996 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. Despite their importance, FOR have been generally underinvestigated. As the first book devoted to the theme, it suggests the exciting idea of a computer model that could change its FOR, and then evaluate its FOR relative to a particular task. The book looks at the influence on understanding, insight, expertise and the advance of knowledge of the forms of representation we use. This book will be welcomed by researchers in the fields of Cognitive Science and AI in particular, and Psychology and Philosophy in general.

Author : Monica Brito Vieira
Publisher : John Wiley & Sons
ISBN 13 : 0745658296
Total Pages : 174 pages
Book Rating : 4.92/5 ( download)

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Download or read book Representation written by Monica Brito Vieira and published by John Wiley & Sons. This book was released on 2013-04-25 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is representation? What does it mean when a politician represents citizens in government? How can citizens be represented beyond the boundaries of the nation-state? These are just some of the questions which will be answered by David Runciman and Mónica Brito Vieira as they explain why representation should be understood as one of the key concepts in modern politics. The first part of the book examines the historical roots of the concept of representation, from its origins in ancient Rome through to its role in the revolutionary politics of the modern world. The second looks at different varieties of representation – in law as well as politics. The final part asks how the concept of representation can help us think creatively about current and future challenges facing the world. Representation is too often treated as a secondary or qualifying idea – as in the phrase ‘representative democracy’. This book argues that we have this the wrong way round. Representation is the foundational idea in almost all areas of our political life. Making sense of representation in its own terms is crucial for seeing why democracy functions the way it does, and for exploring how it might function differently.

Author : Lynn A. Higgins
Publisher : Columbia University Press
ISBN 13 : 9780231514712
Total Pages : 348 pages
Book Rating : 4.19/5 ( download)

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Download or read book Rape and Representation written by Lynn A. Higgins and published by Columbia University Press. This book was released on 1993-07-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rape does not have to happen. The fact that it does--and in the United States a rape is reported every six minutes--indicates that we live in a rape-prone culture where rape or the threat of rape functions as a tool for enforcing sexual difference and hierarchy. Rape and Representation explores how cultural forms construct and reenforce social attitudes and behaviors that perpetuate sexual violence. The essays proceed from the observation that literature not only reflects but also contributes to what a society believes about itself. Fourteen essays by authors in the fields of English, American and African-American, German, African, Brazilian, Classical, and French literatures and film present a wide range of texts from different historical periods and cultures. Contributors demythologize patriarchal representation in literature and art in order to show how it makes rape seem natural and inevitable. Contributors include: the editors, John J. Winkler, Patricia Klindiest Joplin, Susan Winnett, Ellen Rooney, Coppélia Kahn, Eileen Julien, Marta Peixoto, Kathryn Gravdal, Carla Freccero, Nellie V. McKay, Nancy A. Jones, and Froma I. Zeitlin. Their work raises pressing--and often difficult--questions for feminist criticism.

Author : Pavel I. Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 228 pages
Book Rating : 4.11/5 ( download)

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Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Author : Ben Blumson
Publisher : Open Book Publishers
ISBN 13 : 1783740728
Total Pages : 222 pages
Book Rating : 4.27/5 ( download)

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Download or read book Resemblance and Representation written by Ben Blumson and published by Open Book Publishers. This book was released on 2014-09-21 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: It’s a platitude – which only a philosopher would dream of denying – that whereas words are connected to what they represent merely by arbitrary conventions, pictures are connected to what they represent by resemblance. The most important difference between my portrait and my name, for example, is that whereas my portrait and I are connected by my portrait’s resemblance to me, my name and I are connected merely by an arbitrary convention. The first aim of this book is to defend this platitude from the apparently compelling objections raised against it, by analysing depiction in a way which reveals how it is mediated by resemblance. It’s natural to contrast the platitude that depiction is mediated by resemblance, which emphasises the differences between depictive and descriptive representation, with an extremely close analogy between depiction and description, which emphasises the similarities between depictive and descriptive representation. Whereas the platitude emphasises that the connection between my portrait and me is natural in a way the connection between my name and me is not, the analogy emphasises the contingency of the connection between my portrait and me. Nevertheless, the second aim of this book is to defend an extremely close analogy between depiction and description. The strategy of the book is to argue that the apparently compelling objections raised against the platitude that depiction is mediated by resemblance are manifestations of more general problems, which are familiar from the philosophy of language. These problems, it argues, can be resolved by answers analogous to their counterparts in the philosophy of language, without rejecting the platitude. So the combination of the platitude that depiction is mediated by resemblance with a close analogy between depiction and description turns out to be a compelling theory of depiction, which combines the virtues of common sense with the insights of its detractors.

Author : Ronald Brachman
Publisher : Morgan Kaufmann
ISBN 13 : 1558609326
Total Pages : 414 pages
Book Rating : 4.27/5 ( download)

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Download or read book Knowledge Representation and Reasoning written by Ronald Brachman and published by Morgan Kaufmann. This book was released on 2004-05-19 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge representation is at the very core of a radical idea for understanding intelligence. This book talks about the central concepts of knowledge representation developed over the years. It is suitable for researchers and practitioners in database management, information retrieval, object-oriented systems and artificial intelligence.