Introduction to Representation Theory
Introduction to Representation Theory

Author: Pavel I. Etingof

Publisher: American Mathematical Soc.

Published: 2011

Total Pages: 240

ISBN-13: 0821853511

DOWNLOAD EBOOK

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.

Representation
Representation

Author: Stuart Hall

Publisher: SAGE

Published: 1997-04-08

Total Pages: 422

ISBN-13: 9780761954323

DOWNLOAD EBOOK

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.

Resemblance and Representation
Resemblance and Representation

Author: Ben Blumson

Publisher: Open Book Publishers

Published: 2014-09-21

Total Pages: 225

ISBN-13: 1783740728

DOWNLOAD EBOOK

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.

Representation Theory
Representation Theory

Author: William Fulton

Publisher: Springer Science & Business Media

Published: 1991

Total Pages: 616

ISBN-13: 9780387974958

DOWNLOAD EBOOK

Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups.

The Concept of Representation
The Concept of Representation

Author: Hanna F. Pitkin

Publisher: Univ of California Press

Published: 1967

Total Pages: 340

ISBN-13: 9780520021563

DOWNLOAD EBOOK

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.

The Chain of Representation
The Chain of Representation

Author: Brian F. Crisp

Publisher: Cambridge University Press

Published: 2020-03-19

Total Pages: 279

ISBN-13: 1108478018

DOWNLOAD EBOOK

A comparative analysis of why democratic institutions often produce dissonance between citizens' preferences and public policy in separation-of-powers regimes.

Representation and Citizenship
Representation and Citizenship

Author: Richard Marback

Publisher: Wayne State University Press

Published: 2016-10-03

Total Pages: 184

ISBN-13: 0814342477

DOWNLOAD EBOOK

The audience for this book includes, but is not limited to, students and scholars in citizenship studies, history, law, political science, and social science, especially those interested in issues of patriotism and multiculturalism.

Lexical Representation and Process
Lexical Representation and Process

Author: William Marslen-Wilson

Publisher: MIT Press

Published: 1989

Total Pages: 596

ISBN-13: 9780262631426

DOWNLOAD EBOOK

The 18 contributions in Lexical Representation and Process provide a coherent and well-documented frame of reference for a field of study that is becoming central to both linguistics and psycholinguistics.

A Tour of Representation Theory
A Tour of Representation Theory

Author: Martin Lorenz

Publisher: American Mathematical Soc.

Published: 2018

Total Pages: 674

ISBN-13: 1470436809

DOWNLOAD EBOOK

Offers an introduction to four different flavours 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 the reader to pursue research in representation theory.

Representation and Behavior
Representation and Behavior

Author: Fred Keijzer

Publisher: MIT Press

Published: 2001-02-12

Total Pages: 289

ISBN-13: 0262263327

DOWNLOAD EBOOK

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.