Representations of some MD5-group via deformation quantization

The present paper is a continuation of Nguyen Viet Hai’s ones [3], [4], [6], [7]. Specifically, the paper is concerned with the subclass of connected and simply connected MDs-groups such that their MDs-algebras Q have the derived ideal Gl := [Q,G] R3. We show that the ^-representations of these MDs-...

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Bibliographic Details
Main Author: Nguyen, Viet Hai
Format: Article
Language:English
Published: H. : ĐHQGHN 2017
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Online Access:http://repository.vnu.edu.vn/handle/VNU_123/57764
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Institution: Vietnam National University, Hanoi
Language: English
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Summary:The present paper is a continuation of Nguyen Viet Hai’s ones [3], [4], [6], [7]. Specifically, the paper is concerned with the subclass of connected and simply connected MDs-groups such that their MDs-algebras Q have the derived ideal Gl := [Q,G] R3. We show that the ^-representations of these MDs-algebras result from the quantization of the Poisson bracket on the coalgebra in canonical coordinates.