Basic quantizations of D = 4 Euclidean, Lorentz, Kleinian and quaternionic o⋆4 $$ {\mathfrak{o}}^{\star }(4) $$ symmetries

Basic quantizations of D = 4 Euclidean, Lorentz, Kleinian and quaternionic o⋆4 $$ {\mathfrak{o}}^{\star }(4) $$ symmetries

Abstract We construct firstly the complete list of five quantum deformations of D = 4 complex homogeneous orthogonal Lie algebra o4ℂ≅o3ℂ⊕o3ℂ $$ \mathfrak{o}\left(4;\mathbb{C}\right)\cong \mathfrak{o}\left(3;\mathbb{C}\right)\oplus \mathfrak{o}\left(3;\mathbb{C}\right) $$, describing quantum rotation...

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Bibliographic Details
Main Authors: A. Borowiec, J. Lukierski, V.N. Tolstoy
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Journal of High Energy Physics
Subjects:
Quantum Groups
Models of Quantum Gravity
Non-Commutative Geometry
Online Access:http://link.springer.com/article/10.1007/JHEP11(2017)187

Internet

http://link.springer.com/article/10.1007/JHEP11(2017)187

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