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Titlebook: Representation Theory of the Virasoro Algebra; Kenji Iohara,Yoshiyuki Koga Book 2011 Springer-Verlag London Limited 2011 Fock modules.Hari

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發(fā)表于 2025-3-21 17:27:52 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Representation Theory of the Virasoro Algebra
編輯Kenji Iohara,Yoshiyuki Koga
視頻videohttp://file.papertrans.cn/828/827419/827419.mp4
概述Brings much of the existing literature under one roof.Fundamental results are organized in a unified manner.A number of existing proofs are refined.Corrects a number of errors that have spread through
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Representation Theory of the Virasoro Algebra;  Kenji Iohara,Yoshiyuki Koga Book 2011 Springer-Verlag London Limited 2011 Fock modules.Hari
描述.The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics. This book describes some fundamental facts about the representation theory of the Virasoro algebra in a self-contained manner. Topics include the structure of Verma modules and Fock modules, the classification of (unitarizable) Harish-Chandra modules, tilting equivalence, and the rational vertex operator algebras associated to the so-called minimal series representations..Covering a wide range of material, this book has three appendices which provide background information required for some of the chapters. The authors organize fundamental results in a unified way and refine existing proofs. For instance in chapter three, a generalization of Jantzen filtration is reformulated in an algebraic manner, and geometric interpretation is provided. Statements, widely believed to be true, are collated, and results which are known but not verified are proven, such as the corrected structure theorem of Fock modules in chapter eight..This book will be of interest to a wide range of mathematicians and physicists from the level of graduate students to res
出版日期Book 2011
關(guān)鍵詞Fock modules; Harish-Chandra modules; Jantzen ltrations; Rational vertex operator algebras; Representat
版次1
doihttps://doi.org/10.1007/978-0-85729-160-8
isbn_softcover978-1-4471-2609-6
isbn_ebook978-0-85729-160-8Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag London Limited 2011
The information of publication is updating

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發(fā)表于 2025-3-21 23:23:08 | 只看該作者
Representation Theory of the Virasoro Algebra978-0-85729-160-8Series ISSN 1439-7382 Series E-ISSN 2196-9922
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Springer Monographs in Mathematicshttp://image.papertrans.cn/r/image/827419.jpg
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https://doi.org/10.1007/978-0-85729-160-8Fock modules; Harish-Chandra modules; Jantzen ltrations; Rational vertex operator algebras; Representat
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Unitarisable Harish-Chandra Modules,We show that certain irreducible highest weight Vir-modules are unitarisable with the aid of unitarisability of integrable highest weight .-modules. The complete classification of the unitarisable Harish-Chandra modules is given as the goal of these two chapters.
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Preliminary,ropriate to work within the framework of what we call .-graded Lie algebras. Hence, we also present a categorical setup for representations of .-graded Lie algebras and some of their properties such as local composition series, (co)homologies, and Berstein-Gelfand-Gelfand duality.
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