Vector Spaces
Mostrando 25-36 de 39 artigos, teses e dissertações.
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25. Equivariant algebraic vector bundles over representations of reductive groups: applications.
Let G be a connected semisimple Lie group over C. In this paper we construct continuous families of nonisomorphic algebraic G-vector bundles in which the base space is a fixed representation of G. The G-vector bundles constructed are all G-invariant hypersurfaces in a representation of G. We show that in some cases these vector bundles yield continuous famil
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26. Algebraic K-theory of spaces stratified fibered over hyperbolic orbifolds
Among other results, we rationally calculate the algebraic K-theory of any discrete cocompact subgroup of a Lie group G, where G is either O(n, 1), U(n, 1), Sp(n, 1), or F4, in terms of the homology of the double coset space Γ\G/K, where K is a maximal cocompact subgroup of G. We obtain the formula Kn(ZΓ) [unk] [unk] ≅ [unk]i=0∞Hi(Γ\G/K; [unk]n-i), wh
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27. Vanishing properties of cuspidal local systems.
Prehomogeneous vector spaces arising from semisimple groups are considered, and it is shown that certain local systems on the open orbit have the property that their middle extension is zero on the complement of the open orbit.
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28. Theory of a Class of Locally Convex Vector Lattices Which Include the Lebesgue Spaces
In this paper is presented the theory of a class of locally convex lattices (L-lattices) of real functions which generalize the classical Lebesgue spaces. The monotone and dominated convergence theorems for convergence almost everywhere and sequential and order completeness of such lattices are established. These results are obtained through characterization
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29. Equivariant algebraic vector bundles over representations of reductive groups: theory.
Let G be a reductive algebraic group and let B be an affine variety with an algebraic action of G. Everything is defined over the field C of complex numbers. Consider the trivial G-vector bundle B x S = S over B where S is a G-module. From the endomorphism ring R of the G-vector bundle S a construction of G-vector bundles over B is given. The bundles constru
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30. Differentiable Cohomology on Locally Compact Groups
In this paper the notions of vector field and differential form are extended to locally compact groups which are the inverse limit of Lie groups. This is done using Bruhat's definition of [unk]c∞ functions on such a group. Vector fields are defined as derivations on the [unk]c∞ functions. Then tangent vectors at a point are defined as elements of the inv
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31. Gordan—Capelli series in superalgebras
We derive two Gordan—Capelli series for the supersymmetric algebra of the tensor product of two [unk]2-graded [unk]-vector spaces U and V, being [unk] a field of characteristic zero. These expansions yield complete decompositions of the supersymmetric algebra regarded as a pl(U)- and a pl(V)- module, where pl(U) and pl(V) are the general linear Lie superal
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32. Rescue from Photoreceptor Degeneration in the rd Mouse by Human Immunodeficiency Virus Vector-Mediated Gene Transfer
Retinitis pigmentosa (RP) is the most common inherited retinal disease, in which photoreceptor cells degenerate, leading to blindness. Mutations in the rod photoreceptor cGMP phosphodiesterase β subunit (PDEβ) gene are found in patients with autosomal recessive RP as well as in the rd mouse. We have recently shown that lentivirus vectors based on human imm
American Society for Microbiology.
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33. Young—Capelli symmetrizers in superalgebras†
Let Supern[U [unk] V] be the nth homogeneous subspace of the supersymmetric algebra of U [unk] V, where U and V are Z2-graded vector spaces over a field K of characteristic zero. The actions of the general linear Lie superalgebras pl(U) and pl(V) span two finite-dimensional K-subalgebras B and [unk] of EndK(Supern[U [unk] V]) that are the centralizers of eac
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34. Knowledge-based analysis of microarray gene expression data by using support vector machines
We introduce a method of functionally classifying genes by using gene expression data from DNA microarray hybridization experiments. The method is based on the theory of support vector machines (SVMs). SVMs are considered a supervised computer learning method because they exploit prior knowledge of gene function to identify unknown genes of similar function
The National Academy of Sciences.
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35. Sonchus Yellow Net Rhabdovirus Nuclear Viroplasms Contain Polymerase-Associated Proteins
We have initiated a study of the cytopathology of nucleorhabdoviruses by analyzing the subcellular localization of sonchus yellow net virus (SYNV) genomic and antigenomic RNAs and the encoded polymerase proteins. In situ hybridizations demonstrated that the minus-strand genomic RNA sequences are restricted to the nuclei of infected cells, while the complemen
American Society for Microbiology.
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36. Sym plasmid genes of Rhizobium trifolii expressed in Lignobacter and Pseudomonas strains.
A 14-kilobase (kb) fragment of Rhizobium trifolii Sym plasmid containing nodulation (nod) genes or the pSym plasmid of R. trifolii cointegrated with a broad-host-range vector R68.45 (pPN1) were transferred to Lignobacter strain K17 and Pseudomonas aeruginosa strain PAO5 by conjugation. Lignobacter transconjugants carrying Sym plasmid pPN1 formed nodules on w