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Titlebook: Infinite Dimensional Groups and Algebras in Quantum Physics; Johnny T. Ottesen Book 1995 Springer-Verlag Berlin Heidelberg 1995 conformal

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书目名称Infinite Dimensional Groups and Algebras in Quantum Physics
编辑Johnny T. Ottesen
视频video
丛书名称Lecture Notes in Physics Monographs
图书封面Titlebook: Infinite Dimensional Groups and Algebras in Quantum Physics;  Johnny T. Ottesen Book 1995 Springer-Verlag Berlin Heidelberg 1995 conformal
描述The idea of writing this book appeared when I was working on some problems related to representations of physically relevant infinite - mensional groups of operators on physically relevant Hilbert spaces. The considerations were local, reducing the subject to dealing with representations of infinite-dimensional Lie algebras associated with the associated groups. There is a large number of specialized articles and books on parts of this subject, but to our suprise only a few represent the point of view given in this book. Moreover, none of the written material was self-contained. At present, the subject has not reached its final form and active research is still being undertaken. I present this subject of growing importance in a unified manner and by a fairly simple approach. I present a route by which students can absorb and understand the subject, only assuming that the reader is familliar with functional analysis, especially bounded and unbounded operators on Hilbert spaces. Moreover, I assume a little basic knowledge of algebras , Lie algebras, Lie groups, and manifolds- at least the definitions. The contents are presented in detail in the introduction in Chap. The manuscript of
出版日期Book 1995
关键词conformal field theory; quantum physics; string theory
版次1
doihttps://doi.org/10.1007/978-3-540-49141-5
isbn_softcover978-3-662-14053-6
isbn_ebook978-3-540-49141-5Series ISSN 0940-7677
issn_series 0940-7677
copyrightSpringer-Verlag Berlin Heidelberg 1995
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The Metaplectic Representation of the Infinite-Dimensional Symplectic Group,bra treated in Chap. 2, there is a lack of norm continuity in the definition of the .-algebra. This lack of norm continuity is related to the fact that creation and annihilation operators in any representation are unbounded. Physically, this reflects the main difference between fermions, related to
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Applications,ll, in particular, use the infinite-dimensional spin representation, treated in detail in sections 2.4 and 2.3, in our discussion of the particular loop group ., also known as the loop circle. Section 4.1 on loop algebras will serve as background material.
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sing the variables in the security-humanitarian relationship.During the 2015 and 2016 refugee crisis the EU called on the Member States to engage in protection burden-sharing. This proposal found strong opposition from some of the Visegrad Group countries, including Poland, which expressed their rel
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