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- W2950382351 abstract "We construct spherical subgroups in infinite-dimensional classical groups $G$ (usually they are not symmetric and their finite-dimensional analogs are not spherical). We present a structure of a semigroup on double cosets $Lsetminus G/L$ for various subgroups $L$ in $G$, moreover these semigroups act in spaces of $L$-fixed vectors in unitary representations of $G$. We also obtain semigroup envelops of groups $G$ generalizing constructions of operator colligations." @default.
- W2950382351 created "2019-06-27" @default.
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- W2950382351 date "2011-01-25" @default.
- W2950382351 modified "2023-09-27" @default.
- W2950382351 title "Sphericity and multiplication of double cosets for infinite-dimensional classical groups" @default.
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- W2950382351 doi "https://doi.org/10.4213/faa3042," @default.
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