The Geometry of Infinite-Dimensional Groups

By B. Khesin, Robert Wendt. 2009

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Notes on the BMS group in three dimensions: I. Induced representations (2014, methodology): “In section 4, we collect some remarks on the Virasoro algebra and group, following in particular [68–70] (see also [71] for a detailed analysis of a group with a structure similar to that of BMS3).”
On the Regularity of the Composition of Diffeomorphisms (2011, background): “Later it was observed that other nonlinear evolution equations such as Burgers equation [6], KdV, or the Camassa Holm equation [7], [17] can be viewed in a similar way – see [22], [32], as well as [5], [19], and [23].”
Strings in Background Fields (2016, background): “Central Extension The central extension of the Witt algebra is the Virasoro algebra and derivations of the central extension of the Witt algbra can be found for instance in [18,19,20].”
Low-dimensional de Sitter quantum gravity (2019, background): “It is well-known that Hamiltonian flow on coadjoint orbits can be interpreted as fluid equations [39, 125].”