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Finitary linear representations of infinite symmetric and alternating groups
Algebra and Logic, 1993A linear transformation of a vector space is called finitary if it acts identically on some subspace of finite codimension. It is clear that the set of all invertible finitary transformations of a vector space \(V\) is a normal subgroup \(\text{FGL}(V)\) of the group of all invertible linear transformations \(\text{GL}(V)\). A homomorphism of a group \(
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Representations of Diffeomorphism Groups and the Infinite Symmetric Group
1994Unitary representations of diffeomorphism groups of manifolds are studied in connection with those of the infinite symmetric group. First we study quasi-invariant measures on the spaces of ordered configurations. Then, using them, we construct quite a big family of representations by a measurable version of the method of associated vector bundles ...
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Journal of Mathematical Physics, 1997
The double-complex function method suggested in previous papers is extended and the extended method is used to establish two mutually dual extended double Hauser–Ernst equations and related Riemann–Hilbert problems, then quadruple representations of the semidirect product of the Kac–Moody and Virasoro groups are given.
Gao, Yajun, Zhong, Zaizhe, Gui, Yuanxing
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The double-complex function method suggested in previous papers is extended and the extended method is used to establish two mutually dual extended double Hauser–Ernst equations and related Riemann–Hilbert problems, then quadruple representations of the semidirect product of the Kac–Moody and Virasoro groups are given.
Gao, Yajun, Zhong, Zaizhe, Gui, Yuanxing
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2017
We investigate the group $\mathcal{H}_\mathbb{C}$ of complexified Heisenberg matrices with entries from an infinite-dimensional complex Hilbert space $H$. Irreducible representations of the Weyl--Schr{ }dinger type on the space $L^2_ $ of quadratically integrable $\mathbb{C}$-valued functions are described. Integrability is understood with respect to
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We investigate the group $\mathcal{H}_\mathbb{C}$ of complexified Heisenberg matrices with entries from an infinite-dimensional complex Hilbert space $H$. Irreducible representations of the Weyl--Schr{ }dinger type on the space $L^2_ $ of quadratically integrable $\mathbb{C}$-valued functions are described. Integrability is understood with respect to
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
exaly
Social determinants of health and US cancer screening interventions: A systematic review
Ca-A Cancer Journal for Clinicians, 2023Ariella R Korn
exaly