Yu. A. Neretin, “Hua measures on the space of <nobr>$p$</nobr>-adic matrices and inverse limits of Grassmannians”, Izv. RAN. Ser. Mat., 2013, Volume 77, Issue 5,Pages <nobr>95

This article is cited in 9 papers

Hua measures on the space of $p$-adic matrices and inverse limits of Grassmannians

Yu. A. Neretin^abc

^a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow
^b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^c University of Vienna

Abstract: 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.

UDC: 512.625.5+512.741.5+512.816.4

MSC: 43A80, 46G12, 58D05

Received: 10.05.2012
Revised: 25.06.2012

DOI: 10.4213/im7996