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Titlebook: Conformal Symmetry Breaking Operators for Differential Forms on Spheres; Toshiyuki Kobayashi,Toshihisa Kubo,Michael Pevzner Book 2016 Spri

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楼主: microbe
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Conformal Symmetry Breaking Operators for Differential Forms on Spheres978-981-10-2657-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Transitioning to a Post-Carbon SocietyLet (X, g) be a pseudo-Riemannian manifold. Suppose that a Lie group G acts conformally on X. This means that there exists a positive-valued function . (conformal factor) such that
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Transitioning to a Post-Carbon SocietyThe conformal compactification S. of R. may be thought of as the real flag variety of the indefinite orthogonal group G = O(n+1, 1), and the twisted action v(i) u, d of G on E i(Sn) is a special case of the principal series representations of G.
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Transitions Before the TransitionThis chapter summarizes a strategy and technical details in applying the F-mehod to find matrix-valued symmetry breaking operators in the setting where (G, G’) = (O(n+1, 1), O(n, 1)).
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Madalena Santos,JoĀo Filipe MatosIn this chapter we collect some elementary properties of basic operators such as the Hodge star operator, the codifferential d*, and the interior multiplication iNY (X) by the normal vector field for hypersurfaces Y in pseudo-Riemannian manifolds X.
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