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Titlebook: Quantum Groups and Noncommutative Spaces; Perspectives on Quan Matilde Marcolli,Deepak Parashar Textbook 2011 Vieweg+Teubner Verlag | Sprin

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書目名稱Quantum Groups and Noncommutative Spaces
副標(biāo)題Perspectives on Quan
編輯Matilde Marcolli,Deepak Parashar
視頻videohttp://file.papertrans.cn/782/781222/781222.mp4
概述Broad surveys of recent developments in both fields
叢書名稱Aspects of Mathematics
圖書封面Titlebook: Quantum Groups and Noncommutative Spaces; Perspectives on Quan Matilde Marcolli,Deepak Parashar Textbook 2011 Vieweg+Teubner Verlag | Sprin
描述This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries. The volume collects surveys by experts which originate from an acitvity at the Max-Planck-Institute for Mathematics in Bonn. ..Contributions byTomasz Brzezinski, Branimir Cacic, Rita Fioresi, Rita Fioresi and Fabio Gavarini, Debashish Goswami, Christian Kassel, Avijit Mukherjee, Alfons Van Daele, Robert Wisbauer, Alessandro Zampini..The volume is aimed as introducing techniques and results on Quantum Groups and Noncommutative Geometry, in a form that is accessible to other researchers in related areas as well as to advanced graduate students..The topics covered are of interest to both mathematicians and theoretical physicists....Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA..Dr. Deepak Parashar, Cambridge Cancer Trials Centre and MRC Biostatistics Unit, University of Cambrid
出版日期Textbook 2011
關(guān)鍵詞Hopf algebras; Noncommutative geometry; Quantum groups; quantization; spectral triples
版次1
doihttps://doi.org/10.1007/978-3-8348-9831-9
isbn_softcover978-3-8348-2689-3
isbn_ebook978-3-8348-9831-9Series ISSN 0179-2156
issn_series 0179-2156
copyrightVieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2011
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Tensor representations of the general linear super group,We show a correspondence between tensor representations of the super general linear group . and tensor representations of the general linear superalgebra . using a functorial approach.
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Aspects of Mathematicshttp://image.papertrans.cn/q/image/781222.jpg
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https://doi.org/10.1007/978-3-8348-9831-9Hopf algebras; Noncommutative geometry; Quantum groups; quantization; spectral triples
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發(fā)表于 2025-3-23 04:32:14 | 只看該作者
Moduli Spaces of Dirac Operators for Finite Spectral Triples,n and the failure of orientability and Poincaré duality, and moduli spaces of Dirac operators for such spectral triples are defined and studied. This theory is then applied to recent work by Chamseddine and Connes towards deriving the finite spectral triple of the noncommutative-geometric Standard Model.
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發(fā)表于 2025-3-23 05:54:38 | 只看該作者
Quantum duality principle for quantum Grassmannians, Poisson duality. One of these recipes fails (for lack of the initial ingredient) when the homogeneous space we start from is not a quasi-affine variety. In this work we solve this problem for the quantum Grassmannian, a key example of quantum projective homogeneous space, providing a suitable analogue of the QDP recipe.
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