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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。 | |
Joseph and Letzter extended Kostant's theorem to the case of the quantized enveloping algebra of g.
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Splitting fields for extended complex reflection groups and Hecke algebras
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Also, we generalize the corresponding result for cyclotomic Hecke algebras to Hecke algebras attached to extended finite complex reflection groups.
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Young (1912), these theorems were considered and extended by F.
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The basic technique uses factorization of group elements and Gel'fand-Tsetlin bases to simplify the computations, and may be extended to treat the computation of Fourier transforms of finitely supported distributions on the group.
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In our paper [KR] we began a systematic study of representations of the universal central extension[InlineEquation not available: see fulltext.] of the Lie algebra of differential operators on the circle.
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Weyl group extension of quantized current algebras
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Such central extension gives rise to a goup scheme that leads to a geometric construction of unrestricted representations.
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The corresponding monodromyre presentation of the braid group Bg of type g is a deformation of the action of (afinite extension of) W on V.
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For the special case of his construction that gives groups of type E6, we connect the two papers by answering the question: Given an Albert algebra A and a separable quadratic field extension K, what is the index of the resulting algebraic group?
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Complexity of Homogeneous Spaces and Growth of Multiplicities
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We give a representation-theoretic interpretation of this number as the exponent of growth for multiplicities of simple G-modules in the spaces of sections of homogeneous line bundles on G/H.
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A necessary and sufficient geometric condition on the growth of the boundary of approximate tiles is reduced to a problem in Fourier analysis that is shown to have an elegant simple solution in dimension one.
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We prove a Tauberian theorem of the form $\phi * g (x)\sim p(x)w(x)$ as $x \to \infty,$ where p(x) is a bounded periodic function and w(x) is a weighted function of power growth.
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A complex Radon measure μ on ?n is said to be of at most exponential-quadratic growth if there exist positive constants C and α such that.
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We give strong evidence that the analog of finite propagation for the wave equation does not hold because of inconsistent scaling behavior in space and time.
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Prolate Spheroidal Wave Functions (PSWFs) are a well-studied subject with applications in signal processing, wave propagation, antenna theory, etc.
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This transformation is particularly useful for the research on wave propagation in acoustic waveguide.
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The authors also modified the brief propagation decoding algorithm, proved the symmetry and showed the stability conditions of the channels, and calculated the Shannon limits on Rician channels in this paper.
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Moreover, the proposed algorithm can be used in both homogenous and heterogeneous wireless networks, and it can also work without an explicit propagation channel model or the position information of nodes.
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