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• W3100694856 abstract "Let $G$ be an infinite-dimensional real classical group containing the complete unitary group (or complete orthogonal group) as a subgroup. Then $G$ generates a category of double cosets (train) and any unitary representation of $G$ can be canonically extended to the train. We prove a technical lemma about the complete group $GL$ of infinite $p$-adic matrices with integer coefficients, this lemma implies that the phenomenon of automatic extension of unitary representations to trains is valid for infinite-dimensional $p$-adic groups." @default.
• W3100694856 created "2020-11-23" @default.
• W3100694856 creator A5002058144 @default.
• W3100694856 date "2019-06-26" @default.
• W3100694856 modified "2023-09-27" @default.
• W3100694856 title "On the Group of Infinite p-Adic Matrices with Integer Elements" @default.
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• W3100694856 doi "https://doi.org/10.1007/s10958-019-04376-w" @default.
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