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We study the decomposition as an -module of the multiplicity space corresponding to the branching from to . Here, (resp. ) is considered embedded in in the upper left-hand block (resp. lower right-hand block). We show that when the highest weight of the irreducible representation of interlaces the highest weight of the irreducible representation of , then the multiplicity space decomposes as a tensor product of reducible representations of . 相似文献
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We provide bounds for the Hausdorff dimension of the singular set of minima of functionals of the type , where F is only Hölder continuous with respect to the variables . To cite this article: J. Kristensen, G. Mingione, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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Let F be a field of characteristic and G be a smooth finite algebraic group over F. We compute the essential dimension of G at p. That is, we show that 相似文献
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《Discrete Mathematics》2007,307(3-5):319-330
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Karl-Theodor Sturm 《Comptes Rendus Mathematique》2005,340(3):235-238
We introduce and analyze curvature bounds for metric measure spaces , based on convexity properties of the relative entropy . For Riemannian manifolds, if and only if for all . We define a complete separable metric on the family of all isomorphism classes of normalized metric measure spaces. It has a natural interpretation in terms of mass transportation. Our lower curvature bounds are stable under -convergence. We also prove that the family of normalized metric measure spaces with doubling constant is closed under -convergence. Moreover, the subfamily of spaces with diameter is compact. To cite this article: K.-T. Sturm, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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Let be an L-function which appears in the Langlands–Shahidi theory. We give a lower bound for when using Eisenstein series. This method is applicable even when is not known to be absolutely convergent for . To cite this article: S.S. Gelbart et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004). 相似文献
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Abdallah Derbal 《Comptes Rendus Mathematique》2005,340(4):255-258
Let the functions and be number of unitary divisors (see below) and number of divisors n in arithmetic progressions ; k and l are integers relatively prime such that and let, for where is Euler's totient. The function has been studied in [A. Derbal, A. Smati, C. A. Acad. Sci. Paris, Ser. I 339 (2004) 87–90]. In this Note we study the functions and . We give explicitly their maximal orders and we compute effectively the maximum of for and that of for . To cite this article: A. Derbal, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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Let denote the t-class group of an integral domain A. P. Samuel has established that if A is a Krull domain then the mapping , is injective and if A is a regular UFD, then , is bijective. Later, L. Claborn extended this result in case A is a regular Noetherian domain. In the first part of this paper we prove that the mapping ; is an injective homomorphism and in case of an integral domain A such that each υ-invertible υ-ideal of A has υ-finite type, we give an equivalent condition for , to be bijective, thus generalizing the result of Claborn. In the second part of this paper, we define the S-class group of an integral domain A: let S be a (not necessarily saturated) multiplicative subset of an integral domain A. Following [11], a nonzero fractional ideal I of A is S-principal if there exist an and such that . The S-class group of A, S- is the group of fractional t-invertible t-ideals of A under t-multiplication modulo its subgroup of S-principal t-invertible t-ideals of A. We generalize some known results developed for the classic contexts of Krull and PυMD domain and we investigate the case of isomorphism S--. 相似文献
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Let R be an associative ring with unit and denote by the homotopy category of complexes of projective left R-modules. Neeman proved the theorem that is -compactly generated, with the category of left bounded complexes of finitely generated projective R-modules providing an essentially small class of such generators. Another proof of Neeman's theorem is explained, using recent ideas of Christensen and Holm, and Emmanouil. The strategy of the proof is to show that every complex in vanishes in the Bousfield localization . 相似文献
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