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

DOI10.1070/IM2013v077n05ABEH002665zbMath1284.22013arXiv1205.2113OpenAlexW2962807493MaRDI QIDQ2866962

Yuriĭ A. Neretin

Publication date: 10 December 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2113

zbMATH Keywords

Grassmanniansinductive limitquasi-invariant measureinverse limit\(p\)-adic matrix groups

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Analysis on other specific Lie groups (43A80) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (7)

Infinite 𝑝-adic random matrices and ergodic decomposition of 𝑝-adic Hua measures ⋮ Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields ⋮ The space \(L^2\) on semi-infinite Grassmannian over finite field ⋮ Limits and fluctuations of \(p\)-adic random matrix products ⋮ Groups \(\mathrm{GL}(\infty)\) over finite fields and multiplications of double cosets ⋮ On the group of infinite \(p\)-adic matrices with integer elements ⋮ Description of unitary representations of the group of infinite 𝑝-adic integer matrices

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