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First published in 1994, this book is concerned with certain kinds
of wh-clauses, whose interpretations are easily and, the author
argues, plausibly rendered by a logicosemantic analysis on which
wh-phrases translate as open sentences, that is, as expressions of
the semantically interpreted representation which contain free
variables. After a review of influential contemporary analyses of
the semantics of questions, concentrating on issues related to the
truthconditional interpretation of these constructions, the author
goes on to analyse logicosemantic similarities between wh-phrases
and indefinite NPs. This analysis is extended in chapter V to
account for asymmetries between wh-phrases and indefinites, but is
preceded by the engagement and refutation of some of the challenges
to it. The appendices discuss some peripheral points relating to
the central points made by the author which are in need of further
study.
First published in 1994, this book is concerned with certain kinds
of wh-clauses, whose interpretations are easily and, the author
argues, plausibly rendered by a logicosemantic analysis on which
wh-phrases translate as open sentences, that is, as expressions of
the semantically interpreted representation which contain free
variables. After a review of influential contemporary analyses of
the semantics of questions, concentrating on issues related to the
truthconditional interpretation of these constructions, the author
goes on to analyse logicosemantic similarities between wh-phrases
and indefinite NPs. This analysis is extended in chapter V to
account for asymmetries between wh-phrases and indefinites, but is
preceded by the engagement and refutation of some of the challenges
to it. The appendices discuss some peripheral points relating to
the central points made by the author which are in need of further
study.
The University of Virginia (Charlottesville) hosted an
international conference on Infinite-dimensional Aspects of
Representation Theory and Applications. This volume contains papers
resulting from the mini-courses and talks given at the meeting.
Beyond the techniques and ideas related to representation theory,
the book demonstrates connections to number theory, algebraic
geometry, and mathematical physics. The specific topics covered
include Hecke algebras, quantum groups, infinite-dimensional Lie
algebras, quivers, modular representations, and Gromov-Witten
invariants. The book is suitable for graduate students and
researchers interested in representation theory.
Because of its many applications to mathematics and mathematical
physics, the representation theory of infinite-dimensional Lie and
quantized enveloping algebras comprises an important area of
current research. This volume includes articles from the
proceedings of an international conference, ""Infinite-Dimensional
Lie Theory and Conformal Field Theory"", held at the University of
Virginia. Many of the contributors to the volume are prominent
researchers in the field.This conference provided an opportunity
for mathematicians and physicists to interact in an active research
area of mutual interest. The talks focused on recent developments
in the representation theory of affine, quantum affine, and
extended affine Lie algebras and Lie superalgebras. They also
highlighted applications to conformal field theory, integrable and
disordered systems. Some of the articles are expository and
accessible to a broad readership of mathematicians and physicists
interested in this area; others are research articles that are
appropriate for more advanced readers.
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