共查询到20条相似文献,搜索用时 15 毫秒
1.
Matthew Ondrus 《代数通讯》2013,41(8):2506-2523
We describe the action of the center of the quantum group Uq () on the tensor product V ? L(λ) of an infinite-dimensional representation V having an infinitesimal character χτ and an irreducible finite-dimensional Uq () representation L(λ) of highest weight λ. We apply this result in order to describe the tensor product of a Whittaker module and a finite-dimensional simple module for the algebra Uq(l2). 相似文献
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DONG Zhe 《数学年刊B辑(英文版)》2003,24(3):323-330
This paper studies the tensor product RN RM of Jacobson radicals in nest algebras, and obtains that RN RM = {T∈B(H1 H2) : T(N M)(?)N_ M_, N∈N,M∈M}; and based on the characterization of rank-one operators in RN RM,it is proved that if N, M are non-trivial then RN RM=R if and only if N, M are continuous. 相似文献
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The quantum doubles of a certain class of rank two pointed Hopf algebras are considered. The socle of the tensor product of two such modules is computed, and formulas similar to the ones in [4] are obtained. Cases when such a tensor product is completely irreducible are also given in the last section. 相似文献
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In [5, pp. 829–850] study was initiated of flatness properties of right acts A S over a monoid S that can be described in terms when the functor A S ?-preserves pullbacks. In that article, familiar flatness properties emerged in a new light, and new properties such as (PWP) and (WP) were discovered. In this article, we extend these results to S-posets. Also we introduce Conditions (WP) w and (PWP) w and consider the relation between them and Conditions (WP), (PWP), and po-flatness. 相似文献
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本文在L—fuzzy模范畴中,建立了相应的张量积,给出了它的结构性、存在性与唯一性定理,并讨论了张量函子与Hom函子的伴随性。所得结果为通常张量积的“良好推广”(goodextension)。 相似文献
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Meta—projective Modules,Tensor Products and Limits 总被引:2,自引:0,他引:2
Inthispaper,allringsconsideredareassociativewithl#o,allmodulesareunital.Meta-projectivemodulesandmeta-injectivemeduleswerefirstintroductedbyChen-Tong[l]andFeng[2j.LetRbearing,andMaleftR-module.M,iscalledamaximalquotientprojectivesubmeduleofMifM,isamaximalsubmoduleandM/M'isprojective.Accordingto[2j,M,iscalledamaximalquotientinjectivesubmoduleofMifMiisamaximalsubmoduleandM/M,isinjective.Missaidtobemeta-projectiveiftheintersectionofMandallmaximal...quotientproJectivemodulesiso.Similarly,M… 相似文献
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It is shown that the completion of the tensor product of two non-Archimedean weighted spaces of continuous functions is topologically isomorphic to another weighted space. Several applications of this result are given. 相似文献
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Samir Bouchiba 《代数通讯》2013,41(7):2357-2367
This article is concerned with the dimension theory of tensor products of algebras over a field k. In fact, we provide formulas for the Krull and valuative dimension of A? k B when A and B are k-algebras such that the polynomial ring A[n] is an AF-domain for some positive integer n. Also, we compute dim v (A? k B) in the case where A ? B. 相似文献
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《代数通讯》2013,41(11):4247-4264
Abstract Let H be a finite dimensional Hopf algebra over a field k. We show that H contains a unique maximal Hopf ideal J w (H) contained in J(H), the Jacobson radical of H. We give various characterizations of J w (H), for example J w (H) = Ann H ((H/J(H))?n ) for all large enough n. The smallest positive integer n with this property is denoted by l w (H). We prove that l w (H) equals the smallest number n such that (H/J(H))?n contains every projective indecomposable H/J w (H)-module as a direct summand. This also equals the minimal n such that the tensor product of n suitable simple H-modules contains the projective cover of the trivial H/J w (H)-module as a direct summand. We define projective homomorphisms between H-modules, which are used to obtain various reciprocity laws for tensor products of simple H-modules and their projective indecomposable direct summands. We also discuss some consequences of our general results in case H = kG is a group algebra of a finite group G and k is a field of characteristic p. 相似文献
11.
Nathan S. Feldman 《Proceedings of the American Mathematical Society》1999,127(9):2685-2695
We shall use a -algebra approach to study operators of the form where is subnormal and is normal. We shall determine the spectral properties for these operators, and find the minimal normal extension and the dual operator. We also give a necessary condition for to contain a compact operator and a sufficient condition for the algebraic equivalence of and .
We also consider the existence of a homomorphism satisfying . We shall characterize the operators such that exists for every operator .
The problem of when is unitarily equivalent to is considered. Complete results are given when and are positive operators with finite multiplicity functions and has compact self-commutator. Some examples are also given.
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In this paper, the authors first give the properties of the convolutions of OrliczLorentz spaces Λ1,wand Λ2,won the locally compact abelian group. Secondly, the authors obtain the concrete representation as function spaces for the tensor products of Orlicz-Lorentz spaces Λ1,wand Λ2,w, and get the space of multipliers from the spaceΛ1,wto the space M2*,w. Finally, the authors discuss the homogeneous properties for the Orlicz-Lorentz space Λp,q,w. 相似文献
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令M是Z[v]的由v-1和奇素数p生成的理想,U是A=Z[v]M上相伴于对称Cartan矩阵的量子代数.k是特征为零的代数闭域,A→k(v(?)ξ)是环同态.U_k=U(?)_Ak,u_k是U_k的无穷小量子代数.令ξ是1的p次本原根.本文证明了:若有限维可积U_k模M,V中至少有一个是内射模,或者M,V中有一个模作为u_k模是平凡的,则有U_k模同构M(?)V≌V(?)M.我们还证明了:若有限维可积U_k模V作为u_k模是不可分解的,有限维可积U_k模M是不可分解的,且M|_(uk)是平凡的,则V(?)M是不可分解U_k模.令V和M是有限维可积U_k模,作为u_k模是同构的且具有单基座,本文证明V和M作为U_k模也是同构的.由此得到:不可分解内射u_k模提升为U_k模是唯一的. 相似文献
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张量广义逆是张量理论研究的重要内容之一.在近年张量广义逆研究的基础上,该文给出在爱因斯坦积下张量core逆的性质、张量偏序和张量方程A*X = B在条件X∈R(A)下的最小二乘解等. 相似文献
19.
Pal-Andrej Nitsche 《Constructive Approximation》2006,24(1):49-70
We consider best N term approximation using anisotropic tensor product wavelet bases ("sparse grids"). We introduce a tensor
product structure ⊗q on certain quasi-Banach spaces. We prove that the approximation
spaces Aαq(L2) and Aαq(H1) equal tensor products of Besov spaces Bαq(Lq), e.g.,
Aαq(L2([0,1]d)) = Bαq(Lq([0,1])) ⊗q · ⊗q Bαq · ·(Lq([0,1])). Solutions to elliptic partial differential equations on polygonal/polyhedral domains belong to these new scales
of Besov spaces. 相似文献
20.
We prove a connectedness result for products of weighted projective spaces. 相似文献