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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。 | |
We express them in terms of generatorsEij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities.
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For a cellA?Wf we consider a full subcategory formed by direct sums of tilting modulesQ(λ) with highest weights.
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The Direct Summand Property in Modular Invariant Theory
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The group of direct isometries of the hyperbolic space ${\Bbb H}^n \mbox{is} G=\mbox{SO}_0(n,1).$ This isometric action admits many differentiable compactifications into an action on the closed n-dimensional ball.
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We show that ${\mathcal M}(G,R)$ is a symmetric tensor category, i.e., the motive of the product of two projective homogeneous G-varieties is a direct sum of twisted motives of projective homogeneous G-varieties.
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This paper shows how the Kazhdan-Lusztig theory of cells can be directly applied to establish the quasi-heredity ofq-Schur algebras.
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The partial autocorrelation coefficient matrices are computed directly from Levinson's recursions.
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The extensive research and applications obtained for the continuous wavelet transform can therefore be directly applied to the Stockwell domain.
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An MCA-inpainting method is then directly extended to the case of spherical maps allowing us to treat problems where parts of the data are missing or corrupted.
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Topical application of antigen and adjuvant directly on the skin is termed as topical vaccination.
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The Direct Summand Property in Modular Invariant Theory
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From elements of the invariant algebra C[V]G we obtain, by polarization, elements of C[kV]G, where k ≥ 1 and kV denotes the direct sum of k copies of V.
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This compares very favorably with the direct O(B6) algorithm derived from a basic quadrature rule on O(B3) sample points.
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Decompose L2(Rn) into the direct sum of irreducible invariant closed subspaces.
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Extension to the direct methods and applications to the generalized burgers equation
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We express them in terms of generatorsEij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities.
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We show that ${\mathcal M}(G,R)$ is a symmetric tensor category, i.e., the motive of the product of two projective homogeneous G-varieties is a direct sum of twisted motives of projective homogeneous G-varieties.
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We also study the problem of uniqueness of a direct sum decomposition of objects in ${\mathcal M}(G,R).$ We prove that the Krull--Schmidt theorem holds in many cases.
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We provide a direct computational proof of the known inclusion ${\cal H}({\bf R} \times {\bf R}) \subseteq {\cal H}({\bf R}^2),$ where ${\cal H}({\bf R} \times {\bf R})$ is the product Hardy space defined for example by R.
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In this note, we propose a direct proof, and extend the range allowed for the power of the nonlinearity to the set of all short range nonlinearities.
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