kac algebras and duality of locally compact groups

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Kac Algebras And Duality Of Locally Compact Groups

Author : Michel Enock
ISBN : 0387547452
Genre : Mathematics
File Size : 46. 69 MB
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An Invitation To Quantum Groups And Duality

Author : Thomas Timmermann
ISBN : 3037190434
Genre : Mathematics
File Size : 73. 21 MB
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This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras. The book is addressed to graduate students and non-experts from other fields. Only basic knowledge of (multi-)linear algebra is required for the first part, while the second and third part assume some familiarity with Hilbert spaces, CÝsuperscript *¨-algebras, and von Neumann algebras.

Encyclopaedia Of Mathematics

Author : Michiel Hazewinkel
ISBN : 9789401512794
Genre : Mathematics
File Size : 69. 94 MB
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This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Locally Compact Quantum Groups And Groupoids

Author : Leonid Vainerman
ISBN : 9783110200058
Genre : Mathematics
File Size : 24. 54 MB
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The book contains seven refereed research papers on locally compact quantum groups and groupoids by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and theoretical physicists held in Strasbourg from February 21 to February 23, 2002. Topics covered are: various constructions of locally compact quantum groups and their multiplicative unitaries; duality theory for locally compact quantum groups; combinatorial quantization of flat connections associated with SL(2,c); quantum groupoids, especially coming from Depth 2 Extensions of von Neumann algebras, C*-algebras and Rings. Many mathematical results are motivated by problems in theoretical physics. Historical remarks set the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research in which great progress has been achieved in the last few years, with new ties to many other areas of mathematics and physics.

Harmonic Analysis In Hypercomplex Systems

Author : Yu.M. Berezansky
ISBN : 0792350294
Genre : Mathematics
File Size : 21. 1 MB
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First works related to the topics covered in this book belong to J. Delsarte and B. M. Le vitan and appeared since 1938. In these works, the families of operators that generalize usual translation operators were investigated and the corresponding harmonic analysis was constructed. Later, starting from 1950, it was noticed that, in such constructions, an important role is played by the fact that the kernels of the corresponding convolutions of functions are nonnegative and by the properties of the normed algebras generated by these convolutions. That was the way the notion of hypercomplex system with continu ous basis appeared. A hypercomplex system is a normed algebra of functions on a locally compact space Q-the "basis" of this hypercomplex system. Later, similar objects, hypergroups, were introduced, which have complex-valued measures on Q as elements and convolution defined to be essentially the convolution of functionals and dual to the original convolution (if measures are regarded as functionals on the space of continuous functions on Q). However, until 1991, the time when this book was written in Russian, there were no monographs containing fundamentals of the theory (with an exception of a short section in the book by Yu. M. Berezansky and Yu. G. Kondratiev [BeKo]). The authors wanted to give an introduction to the theory and cover the most important subsequent results and examples.

Mathematical Reviews

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ISBN : UOM:39015067193329
Genre : Mathematics
File Size : 50. 97 MB
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Advanced Studies In Contemporary Mathematics

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ISBN : UOM:39015072631578
Genre : Mathematics
File Size : 79. 26 MB
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Proceedings Of The International Congress Of Mathematicians August 21 29 1990 Kyoto Japan

Author : Ichirō Satake
ISBN : 0387700471
Genre : Mathematics
File Size : 49. 93 MB
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International Congress Of Mathematicians Kyoto Japan August 21 29 1990

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ISBN : CORNELL:31924084303704
Genre : History
File Size : 51. 8 MB
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Revue Roumaine De Math Matiques Pures Et Applique S

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ISBN : UOM:39015046580950
Genre : Mathematics
File Size : 48. 74 MB
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