8,700 research outputs found
Overgroups in GL(U⊗ W) of certain subgroups of GL(U)⊗GL(W), I
No full textAbstractLet U, W be two spaces over an arbitrary field F. We have determined all the overgroups of SL(U)⊗SL(W) in GL(U⊗W), and the overgroups of Sp(U)⊗Sp(W) in GL(U⊗W)
Strong Subconvexity for Self-Dual GL(3) L-Functions
No full textIn this paper, we prove strong subconvexity bounds for self-dual GL(3) L-functions in the t-aspect and for GL(3) x GL(2) L-functions in the GL(2)-spectral aspect. The bounds are strong in the sense that they are the natural limit of the moment method pioneered by Xiaoqing Li, modulo current knowledge on estimate for the second moment of GL(3) L-functions on the critical line.TA
Pencil-drawing on nitrogen and sulfur co-doped carbon paper: An effective and stable host to pre-store Li for high-performance lithium–air batteries
No full textMetallic lithium (Li) is regarded as the ultimate anode for high-energy-density rechargeable batteries due to its highest theoretical capacity and most electronegative potential. However, there are serious challenges before practical application of Li metal batteries (e. g. Li–air batteries), including the dendritic Li formation and infinite variation of electrode dimension. Herein, nitrogen (N) and sulfur (S) co-doping carbon paper (NS-CP) is synthesized and further modified with a graphite-based layer (GL) by pencil-drawing. The as-prepared GL modified NS-CP (GL/NS-CP) is applied to pre-store Li through the heating-infusion method and Li-GL/NS-CP electrode is obtained. Experimental and theoretical results have demonstrated that N, S co-doping can effectively enhance the lithiophilicity of CP to ensure the uniform Li deposition. In addition, GL presents excellent Li wettability to rapidly syphon molten Li. Moreover, abundant pores in GL/NS-CP can accommodate enough Li to alleviate electrode volume change and lower local current density to restrain Li dendrites. Compared with pure Li anode, Li-GL/NS-CP electrode shows more stable voltage curves with lower overpotential (20 mV for 600 cycles). As a result, Li–air batteries with Li-GL/NS-CP anodes also exhibit the satisfying cycling life. These results have shed a new light on the development of Li anodes
HCMV spread and cell tropism are determined by distinct virus populations.
No full textHuman cytomegalovirus (HCMV) can infect many different cell types in vivo. Two gH/gL complexes are used for entry into cells. gH/gL/pUL(128,130,131A) shows no selectivity for its host cell, whereas formation of a gH/gL/gO complex only restricts the tropism mainly to fibroblasts. Here, we describe that depending on the cell type in which virus replication takes place, virus carrying the gH/gL/pUL(128,130,131A) complex is either released or retained cell-associated. We observed that virus spread in fibroblast cultures was predominantly supernatant-driven, whereas spread in endothelial cell (EC) cultures was predominantly focal. This was due to properties of virus released from fibroblasts and EC. Fibroblasts released virus which could infect both fibroblasts and EC. In contrast, EC released virus which readily infected fibroblasts, but was barely able to infect EC. The EC infection capacities of virus released from fibroblasts or EC correlated with respectively high or low amounts of gH/gL/pUL(128,130,131A) in virus particles. Moreover, we found that focal spread in EC cultures could be attributed to EC-tropic virus tightly associated with EC and not released into the supernatant. Preincubation of fibroblast-derived virus progeny with EC or beads coated with pUL131A-specific antibodies depleted the fraction that could infect EC, and left a fraction that could predominantly infect fibroblasts. These data strongly suggest that HCMV progeny is composed of distinct virus populations. EC specifically retain the EC-tropic population, whereas fibroblasts release EC-tropic and non EC-tropic virus. Our findings offer completely new views on how HCMV spread may be controlled by its host cells
Globalization of Distinguished Supercuspidal Representations of GL(n)
No full textAn irreducible supercuspidal representation of = GL(n, ), where is a nonarchimedean local field of characteristic zero, is said to be “distinguished” by a subgroup of and a quasicharacter of if Hom(, ) ≠ 0. There is a suitable global analogue of this notion for an irreducible, automorphic, cuspidal representation associated to GL(n). Under certain general hypotheses, it is shown in this paper that every distinguished, irreducible, supercuspidal representation may be realized as a local component of a distinguished, irreducible automorphic, cuspidal representation. Applications to the theory of distinguished supercuspidal representations are provided
A spectral mean value theorem for GL(3)
No full textAbstractIn this paper, we will prove a spectral mean value theorem for the first Fourier coefficients of GL(3) Maass forms. It is the analogue of the local Weyl law for GL(3) proved by Lapid and Müller (2009) [LM] and the sharp upper bound in the global Weyl law for GL(3) proved by Donnelly (1982) [Do], Miller (2001) [Mi], Müller (2007) [Mu], Lindenstrauss and Venkatesh (2007) [LV], Lapid and Müller (2009) [LM], etc
Restriction of Representations of GL (n + 1, ℂ) to GL (n, ℂ) and Action of the Lie Overalgebra
No full textConsider a restriction of an irreducible finite dimensional holomorphic representation of GL(n+1,C) to the subgroup GL(n,C). We write explicitly formulas for generators of the Lie algebra gl(n+1) in the direct sum of representations of GL(n,C). Nontrivial generators act as differential-difference operators, the differential part has order n − 1, the difference part acts on the space of parameters (highest weights) of representations. We also formulate a conjecture about unitary principal series of GL(n,C).© The Author(s) 201
The Balanced Voronoi Formulas for
No full textAbstract
In this article, we show how the Voronoi summation formula of [13] can be rewritten to incorporate hyper-Kloosterman sums of various dimensions on both sides. This generalizes a formula for with ordinary Kloosterman sums on both sides that was used in [1] to prove nonvanishing of GL(4) -functions by GL(2)-twists, and later by the second-named author in [16].</jats:p
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry
No full textSupersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas for Bethe vectors in the composite models with supersymmetry based on the super-Yangians Y[gl(2|1)] and Y[gl(1|2)] are derived.The author wants to express his gratitude to N.A. Slavnov for the proposal to investigate this
topic and discussions. He thanks also to S. Pakuliak for discussions and to A.P. Isaev and
C. Burd´ık for their support. The work of the author has been supported by the Grant Agency ˇ
of the Czech Technical University in Prague, grant No. SGS15/215/OHK4/3T/14, and by the
Grant of the Plenipotentiary of the Czech Republic at JINR, Dubna
Combinatorial results on (1,2,1,2)-avoiding -orbit closures on
No full text35 pages, 18 figuresInternational audienceUsing recent results of the second author which explicitly identify the "-avoiding" -orbit closures on the flag manifold as certain Richardson varieties, we give combinatorial criteria for determining smoothness, lci-ness, and Gorensteinness of such orbit closures. (In the case of smoothness, this gives a new proof of a theorem of W.M. McGovern.) Going a step further, we also describe a straightforward way to compute the singular locus, the non-lci locus, and the non-Gorenstein locus of any such orbit closure. We then describe a manifestly positive combinatorial formula for the Kazhdan-Lusztig-Vogan polynomial in the case where corresponds to the trivial local system on a -avoiding orbit closure and corresponds to the trivial local system on any orbit contained in . This combines the aforementioned result of the second author, results of A. Knutson, the first author, and A. Yong, and a formula of Lascoux and Sch\"{u}tzenberger which computes the ordinary (type ) Kazhdan-Lusztig polynomial whenever is cograssmannian
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