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The representation theory of Lie groups plays a central role in
both clas sical and recent developments in many parts of
mathematics and physics. In August, 1995, the Fifth Workshop on
Representation Theory of Lie Groups and its Applications took place
at the Universidad Nacional de Cordoba in Argentina. Organized by
Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge
Vargas, the workshop offered expository courses on current
research, and individual lectures on more specialized topics. The
present vol ume reflects the dual character of the workshop. Many
of the articles will be accessible to graduate students and others
entering the field. Here is a rough outline of the mathematical
content. (The editors beg the indulgence of the readers for any
lapses in this preface in the high standards of historical and
mathematical accuracy that were imposed on the authors of the
articles. ) Connections between flag varieties and representation
theory for real re ductive groups have been studied for almost
fifty years, from the work of Gelfand and Naimark on principal
series representations to that of Beilinson and Bernstein on
localization. The article of Wolf provides a detailed introduc tion
to the analytic side of these developments. He describes the
construction of standard tempered representations in terms of
square-integrable partially harmonic forms (on certain real group
orbits on a flag variety), and outlines the ingredients in the
Plancherel formula. Finally, he describes recent work on the
complex geometry of real group orbits on partial flag varieties."
Subjectivity, the speaker's expression of self in discourse, is a
relatively under-researched area in the field of applied
linguistics: this book examines the role of subjectivity in the
context of second language use. Drawing on insights from discourse
analysis and pragmatics, it describes how a group of students
studying French at degree level at the University of Cambridge,
England, convey expressions of subjectivity in personal narratives
and argumentative language. In this book, the author begins by
introducing the reader to key areas in the study of discourse.
Using a methodology that has much in common with descriptive
linguistics, he provides a wide-ranging account of how forms in
language are used to convey the expression of subjectivity. His
particular concern is to examine how these markers of subjectivity
are used differently by native and non-native speakers of French.
The discussion is carefully supplemented throughout with a variety
of exemplification and discourse types, including personal
narratives in French and English and transcripts of video-taped
interactions in role-plays. In the course of his analysis, the
author questions long-held assumptions about the way French is
taught in secondary schools and in higher education institutions.
The range of issues discussed, as well as the variety of examples
used, will make this a valuable book not only for students of
applied linguistics but also for any reader wishing to gain a
deeper understanding of how the expression of subjectivity can
contribute to the learning of a second language.
The representation theory of Lie groups plays a central role in
both clas sical and recent developments in many parts of
mathematics and physics. In August, 1995, the Fifth Workshop on
Representation Theory of Lie Groups and its Applications took place
at the Universidad Nacional de Cordoba in Argentina. Organized by
Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge
Vargas, the workshop offered expository courses on current
research, and individual lectures on more specialized topics. The
present vol ume reflects the dual character of the workshop. Many
of the articles will be accessible to graduate students and others
entering the field. Here is a rough outline of the mathematical
content. (The editors beg the indulgence of the readers for any
lapses in this preface in the high standards of historical and
mathematical accuracy that were imposed on the authors of the
articles. ) Connections between flag varieties and representation
theory for real re ductive groups have been studied for almost
fifty years, from the work of Gelfand and Naimark on principal
series representations to that of Beilinson and Bernstein on
localization. The article of Wolf provides a detailed introduc tion
to the analytic side of these developments. He describes the
construction of standard tempered representations in terms of
square-integrable partially harmonic forms (on certain real group
orbits on a flag variety), and outlines the ingredients in the
Plancherel formula. Finally, he describes recent work on the
complex geometry of real group orbits on partial flag varieties."
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