Geodesic
Hua measures on the space of $p$-adic matrices and inverse limits of Grassmannians
Izvestiya. Mathematics , Tome 77 (2013) no. 5, pp. 941-953

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We construct $p$-adic analogues of Hua measures on inverse limits of $p$-adic Grassmannians and describe natural groups of symmetries of such measures.
Keywords: Grassmannians, $p$-adic numbers, quasi-invariant measures. 
@article{IM2_2013_77_5_a2,
     author = {Yu. A. Neretin},
     title = {Hua measures on the space of $p$-adic matrices and inverse limits of {Grassmannians}},
     journal = {Izvestiya. Mathematics },
     pages = {941--953},
     publisher = {mathdoc},
     volume = {77},
     number = {5},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2013_77_5_a2/}
}
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Yu. A. Neretin. Hua measures on the space of $p$-adic matrices and inverse limits of Grassmannians. Izvestiya. Mathematics , Tome 77 (2013) no. 5, pp. 941-953. http://geodesic.mathdoc.fr/item/IM2_2013_77_5_a2/