Define Virtual Representation
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The Virtual Representation of the Past
This unique book critically evaluates the virtual representation of the past through digital media. A distinguished team of leading experts in the field approach digital research in history and archaeology from contrasting viewpoints, including philosophical, methodological and technical. They illustrate the challenges involved in representing the past digitally by focusing on specific cases of a particular historical period, place or technical problem.
Representation Theory of Lie Groups
Author: Jeffrey Adams
language: en
Publisher: American Mathematical Soc.
Release Date: 2015-06-02
This book contains written versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. The volume begins with lectures by A. Knapp and P. Trapa outlining the state of the subject around the year 1975, specifically, the fundamental results of Harish-Chandra on the general structure of infinite-dimensional representations and the Langlands classification. Additional contributions outline developments in four of the most active areas of research over the past 20 years. The clearly written articles present results to date, as follows: R. Zierau and L. Barchini discuss the construction of representations on Dolbeault cohomology spaces. D. Vogan describes the status of the Kirillov-Kostant "philosophy of coadjoint orbits" for unitary representations. K. Vilonen presents recent advances in the Beilinson-Bernstein theory of "localization". And Jian-Shu Li covers Howe's theory of "dual reductive pairs". Each contributor to the volume presents the topics in a unique, comprehensive, and accessible manner geared toward advanced graduate students and researchers. Students should have completed the standard introductory graduate courses for full comprehension of the work. The book would also serve well as a supplementary text for a course on introductory infinite-dimensional representation theory. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Voice, Trust, and Memory
Author: Melissa S. Williams
language: en
Publisher: Princeton University Press
Release Date: 2021-05-11
Does fair political representation for historically disadvantaged groups require their presence in legislative bodies? The intuition that women are best represented by women, and African-Americans by other African-Americans, has deep historical roots. Yet the conception of fair representation that prevails in American political culture and jurisprudence--what Melissa Williams calls "liberal representation"--concludes that the social identity of legislative representatives does not bear on their quality as representatives. Liberal representation's slogan, "one person, one vote," concludes that the outcome of the electoral and legislative process is fair, whatever it happens to be, so long as no voter is systematically excluded. Challenging this notion, Williams maintains that fair representation is powerfully affected by the identity of legislators and whether some of them are actually members of the historically marginalized groups that are most in need of protection in our society. Williams argues first that the distinctive voice of these groups should be audible within the legislative process. Second, she holds that the self-representation of these groups is necessary to sustain their trust in democratic institutions. The memory of state-sponsored discrimination against these groups, together with ongoing patterns of inequality along group lines, provides both a reason to recognize group claims and a way of distinguishing stronger from weaker claims. The book closes by proposing institutions that can secure fair representation for marginalized groups without compromising principles of democratic freedom and equality.