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Titlebook: Elements of the Theory of Representations; Aleksandr A. Kirillov Book 1976 Springer-Verlag Berlin Heidelberg 1976 Darstellung.Group repres

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發(fā)表于 2025-3-21 16:03:29 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Elements of the Theory of Representations
編輯Aleksandr A. Kirillov
視頻videohttp://file.papertrans.cn/308/307665/307665.mp4
叢書名稱Grundlehren der mathematischen Wissenschaften
圖書封面Titlebook: Elements of the Theory of Representations;  Aleksandr A. Kirillov Book 1976 Springer-Verlag Berlin Heidelberg 1976 Darstellung.Group repres
描述The translator of a mathematical work faces a task that is at once fascinating and frustrating. He has the opportunity of reading closely the work of a master mathematician. He has the duty of retaining as far as possible the flavor and spirit of the original, at the same time rendering it into a readable and idiomatic form of the language into which the translation is made. All of this is challenging. At the same time, the translator should never forget that he is not a creator, but only a mirror. His own viewpoints, his own preferences, should never lead him into altering the original, even with the best intentions. Only an occasional translator‘s note is permitted. The undersigned is grateful for the opportunity of translating Professor Kirillov‘s fine book on group representations, and hopes that it will bring to the English-reading mathematical public as much instruction and interest as it has brought to the translator. Deviations from the Russian text have been rigorously avoided, except for a number of corrections kindly supplied by Professor Kirillov. Misprints and an occasional solecism have been tacitly taken care of. The trans- lation is in all essential respects faithfu
出版日期Book 1976
關(guān)鍵詞Darstellung; Group representation; Lie algebra; algebra; cohomology; commutative group; finite group; lie g
版次1
doihttps://doi.org/10.1007/978-3-642-66243-0
isbn_softcover978-3-642-66245-4
isbn_ebook978-3-642-66243-0Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 1976
The information of publication is updating

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Self, Socialisation, Organisation, Culture,eralized Fourier transform is designed to play exactly this r?le for an arbitrary group. This transform is defined as follows. Let . be a topological group and . the set of equivalence classes of irreducible unitary representations of .. For each class λ∈?, we choose a representation . belonging to this class and acting in a Hilbert space ..
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Fourier Transforms and Dualityeralized Fourier transform is designed to play exactly this r?le for an arbitrary group. This transform is defined as follows. Let . be a topological group and . the set of equivalence classes of irreducible unitary representations of .. For each class λ∈?, we choose a representation . belonging to this class and acting in a Hilbert space ..
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0072-7830 e work of a master mathematician. He has the duty of retaining as far as possible the flavor and spirit of the original, at the same time rendering it into a readable and idiomatic form of the language into which the translation is made. All of this is challenging. At the same time, the translator s
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Quantization of Waves (Second Quantization), The first mathematician notices this on the third day and responds by also replacing each number by the arithmetic mean of the adjacent numbers. What numbers will appear on the faces of the cube after a month, under the hypothesis that the two mathematicians go to the institute on alternate days?
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The Secrets of the Hidden Champions,closely connected with a certain special finite-dimensional representation of this group. This representation acts in the dual space {{g}}* of the Lie algebra {{g}} of the group under study. We will call it a [[co-adjoint]] or briefly a [[K-representation]]
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