Representation

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 240 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.

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.

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 225 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.

Download or read book Representation Theory written by William Fulton and published by Springer Science & Business Media. This book was released on 1991 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Download or read book The Chain of Representation written by Brian F. Crisp and published by Cambridge University Press. This book was released on 2020-03-19 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comparative analysis of why democratic institutions often produce dissonance between citizens' preferences and public policy in separation-of-powers regimes.

Download or read book Representation and Citizenship written by Richard Marback and published by Wayne State University Press. This book was released on 2016-10-03 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.