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• W3100640050 abstract "We construct firstly the complete list of five quantum deformations of $D=4$ complex homogeneous orthogonal Lie algebra $mathfrak{o}(4;mathbb{C})cong mathfrak{o}(3;mathbb{C})oplus mathfrak{o}(3;mathbb{C})$, describing quantum rotational symmetry of four-dimensional complex space-time, in particular we provide the corresponding universal quantum $R$-matrices. Further applying four possible reality conditions we obtain all sixteen Hopf-algebraic quantum deformations for the real forms of $mathfrak{o}(4;mathbb{C})$: Euclidean $mathfrak{o}(4)$, Lorentz $mathfrak{o}(3,1)$, Kleinian $mathfrak{o}(2,2)$ and quaternionic $mathfrak{o}^{star}(4)$. For $mathfrak{o}(3,1)$ we only recall well-known results obtained previously by the authors, but for other real Lie algebras (Euclidean, Kleinian, quaternionic) as well as for the complex Lie algebra $mathfrak{o}(4;mathbb{C})$ we present new results." @default.
• W3100640050 created "2020-11-23" @default.
• W3100640050 creator A5032877094 @default.
• W3100640050 creator A5055682372 @default.
• W3100640050 creator A5070366751 @default.
• W3100640050 date "2017-11-01" @default.
• W3100640050 modified "2023-09-24" @default.
• W3100640050 title "Basic quantizations of D = 4 Euclidean, Lorentz, Kleinian and quaternionic $$ {mathfrak{o}}^{star }(4) $$ symmetries" @default.
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• W3100640050 doi "https://doi.org/10.1007/jhep11(2017)187" @default.
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