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• W3167201219 abstract "We investigate the algebra of vector fields on the sphere. First, we find that linear deformations of this algebra are obstructed under reasonable conditions. In particular, we show that $hs[lambda]$, the one-parameter deformation of the algebra of area-preserving vector fields, does not extend to the entire algebra. Next, we study some non-central extensions through the embedding of $mathfrak{v}mathfrak{e}mathfrak{c}mathfrak{t}(S^2)$ into $mathfrak{v}mathfrak{e}mathfrak{c}mathfrak{t}(mathbb{C}^*)$. For the latter, we discuss a three parameter family of non-central extensions which contains the symmetry algebra of asymptotically flat and asymptotically Friedmann spacetimes at future null infinity, admitting a simple free field realization." @default.
• W3167201219 created "2021-06-22" @default.
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• W3167201219 date "2021-05-31" @default.
• W3167201219 modified "2023-09-27" @default.
• W3167201219 title "On deformations and extensions of $text{Diff}(S^2)$" @default.
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• W3167201219 hasPublicationYear "2021" @default.
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