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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
This paper gives an algorithm for computing invariant rings of reductive groups in arbitrary characteristic.
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The algorithm presented here computes a geometric characteristic of this action in the case where G is connected and reductive, and $\rho$ is a morphism of algebraic groups: The algorithm takes as input the
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We present an algorithm for computing the invariant field k(X)G.
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More precisely, we give an algorithm for computing a nonempty open subset of X with a geometric quotient.
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We show that the rate of convergence for this reconstruction algorithm is geometric and computable in advance.
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Previously, only algorithms for linearly reductive groups and for finite groups have been known.
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Similar transforms may be defined on homogeneous spaces; in that case we show how special function properties of spherical functions lead to more efficient algorithms.
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These results may all be viewed as generalizations of the fast Fourier transform algorithms on the circle, and of recent results about Fourier transforms on finite groups.
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For the analogs of the heat and wave equation, we give algorithms for approximating the solution, and display the results of implementing these algorithms.
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We use the decomposition of a group into double cosets and a graph theoretic indexing scheme to derive algorithms that generalize the Cooley-Tukey FFT to arbitrary finite group.
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In this note we present a very simple method of proving that some hyperbolic manifoldsM have finite sheeted covers with positive first Betti number.
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The method applies to the standard arithmetic subgroups ofSO(n,1) (a case which was proved previously by Millson [Mi]), to the non-arithmetic lattices inSO(n,1) constructed by Gromov and Piatetski-Shapiro [GPS] and to groups generated by reflections.
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(HereM3 denotes the vector space of 3×3 matrices over k andp>amp;gt;3.) The method of proof involves an induction, and is potentially of wide applicability.
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The proof is based on a variant of Moser's method using time-dependent vector fields.
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In the second part we apply this method to obtain pseudo-Riemannian homogeneous manifolds with real Killing spinors.
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The method applies to the standard arithmetic subgroups ofSO(n,1) (a case which was proved previously by Millson [Mi]), to the non-arithmetic lattices inSO(n,1) constructed by Gromov and Piatetski-Shapiro [GPS] and to groups generated by reflections.
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A local-global principle for finiteness properties ofS-arithmetic groups over number fields
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In this paper a local-global principle forS-arithmetic groups over number fields is proved.
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TheS-arithmetic group г is of typeFn, resp.FPn, if and only if for allp inS thep-adic completionGp of the corresponding algebraic groupG is of typeCn resp.CPn.
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As a corollary we obtain an easy proof of a theorem of Borel and Serre: AnS-arithmetic subgroup of a semisimple group has all the finiteness propertiesFn.
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