Geodesic
On an infinite-dimensional limit of the Steinberg representations
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Tome 421 (2014), pp. 126-132

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We present a construction of the Steinberg representation that allows for automatically passing to an infinite-dimensional limit. 
@article{ZNSL_2014_421_a9,
     author = {Yu. A. Neretin},
     title = {On an infinite-dimensional limit of the {Steinberg} representations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {126--132},
     publisher = {mathdoc},
     volume = {421},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_421_a9/}
}
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Yu. A. Neretin. On an infinite-dimensional limit of the Steinberg representations. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Tome 421 (2014), pp. 126-132. http://geodesic.mathdoc.fr/item/ZNSL_2014_421_a9/