共查询到20条相似文献,搜索用时 15 毫秒
1.
Nico Spronk 《Journal of Functional Analysis》2007,248(1):152-174
We extend the definition, from the class of abelian groups to a general locally compact group G, of Feichtinger's remarkable Segal algebra S0(G). In order to obtain functorial properties for non-abelian groups, in particular a tensor product formula, we endow S0(G) with an operator space structure. With this structure S0(G) is simultaneously an operator Segal algebra of the Fourier algebra A(G), and of the group algebra L1(G). We show that this operator space structure is consistent with the major functorial properties: (i) completely isomorphically (operator projective tensor product), if H is another locally compact group; (ii) the restriction map is completely surjective, if H is a closed subgroup; and (iii) is completely surjective, where N is a normal subgroup and . We also show that S0(G) is an invariant for G when it is treated simultaneously as a pointwise algebra and a convolutive algebra. 相似文献
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A. Letizia 《Acta Mathematica Hungarica》1980,36(1-2):63-64
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Štefan Sakáloš 《代数通讯》2017,45(2):722-748
A quasi-Hopf algebra H can be seen as a commutative algebra A in the center 𝒵(H-Mod) of H-Mod. We show that the category of A-modules in 𝒵(H-Mod) is equivalent (as a monoidal category) to H-Mod. This can be regarded as a generalization of the structure theorem of Hopf bimodules of a Hopf algebra to the quasi-Hopf setting. 相似文献
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For any given positive integer n, we give a necessary and sufficient condition for an n × nr-circulant (generalized circulant) over the Boolean algebra B = {0, 1} to be idempotent, and we present an algorith to obtain all n × n indempotent r-circulants over B for r = 0, 1,…,n ? 1. 相似文献
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J.L. Alperin 《Journal of Algebra》2008,319(2):777-778
The center of a group algebra of a finite group and the center of a Hecke algebra for this group are related closely. 相似文献
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Kenneth J. Dykema 《Journal of Functional Analysis》2006,231(1):90-110
The S-transform is shown to satisfy a specific twisted multiplicativity property for free random variables in a B-valued Banach noncommutative probability space, for an arbitrary unital complex Banach algebra B. Also, a new proof of the additivity of the R-transform in this setting is given. 相似文献
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Acta Mathematica Hungarica - 相似文献
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Oksana Yakimova 《Bulletin des Sciences Mathématiques》2010,134(6):579-587
Let g be a classical Lie algebra, e∈g a nilpotent element and ge⊂g the centraliser of e. We prove that ge=[ge,ge] if and only if e is rigid. It is also shown that if e∈[ge,ge], then the nilpotent radical of ge coincides with [ge(1),ge], where ge(1)⊂ge is an eigenspace of a characteristic of e corresponding to the eigenvalue 1. 相似文献
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Rodolfo Talamo 《Rendiconti del Circolo Matematico di Palermo》1984,33(2):201-210
Nel presente lavoro introduciamo una classe di estensioni di una data algebra di Boole, denominate σ-saturazioni, in cui è definita una nozione di minimalità. II risultato principale consiste nel dimostrare che esistono algebre che non ammettono una σ-saturazione minimale, per cui è possibile ripartire tutte le algebre di Boole in tre classi: σ-sature, σ-saturabili e non σ-saturabili, di cui nessuna è vuota. Vengono inoltre messi in luce i legami esistenti fra i concetti così introdotti equelli noti di algebra completa o σ-perfetta. 相似文献
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Wolfgang Willems 《Mathematische Zeitschrift》1980,171(2):163-174
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Bohdan J. Tomiuk 《manuscripta mathematica》1979,27(1):1-18
Let A and B be Banach algebras such that A is a right abstract Segal algebra in B. We investigate some properties of A and B and show how these are related to the algebras of right multipliers on A and B. 相似文献
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Yu. B. Ermolaev 《Siberian Mathematical Journal》1994,35(4):706-712
Translated fromSibirskii Matematicheskii Zhurnal, Vol. 35, No. 4, pp. 793–800, July–August, 1994. 相似文献
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Michael Falk 《Advances in Mathematics》1990,80(2)
Let L be a geometric lattice. Following P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. math. 56 (1980), 167–189, we associate with L a graded commutative algebra A(L). In this paper we introduce a new invariant ψ of the algebra A(L) which suffices to distinguish algebras for which all other known invariants coincide. This result is applied to the study of arrangements of complex hyperplanes, with L being the intersection lattice. In this case A(L) is isomorphic to the cohomology algebra of the associated hyperplane complement. The goal is to find examples of arrangements with non-isomorphic lattices but homotopy equivalent complements. The invariant introduced here effectively narrows the list of candidates. Nevertheless, we exhibit combinatorially inequivalent arrangements for which all known invariants, including ψ, coincide. 相似文献