4,566 research outputs found
LIE POWERS OF THE NATURAL MODULE FOR GL(2,K)
No full textIn a recent work of R. M. Bryant and the second author, a (partial) modular analogue of Klyachko’s 1974 result on Lie powers of the natural module for GL(n,K) was presented. There it was shown that nearly all of the indecomposable summands of the rth tensor power also occur up to isomor-phism as summands of the rth Lie power, provided that r = pm and r = 2pm, where p is the characteristic of K. In the current paper, we restrict attention to GL(2,K) and consider the missing cases where r = pm and r = 2pm. In particular, we prove that the indecomposable summand of the rth tensor power of the natural module with highest weight (r − 1, 1) is a summand of the rth Lie power if and only if r = p or r is not a power of p. 1
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
Lie powers of the natural module for GL(2,K)
No full textIn a recent work of R. M. Bryant and the second author, a (partial) modular analogue of Klyachko's 1974 result on Lie powers of the natural module for GL(n,K) was presented. There it was shown that nearly all of the indecomposable summands of the rth tensor power also occur up to isomorphism as summands of the rth Lie power, provided that r ≠ pm and r ≠ 2pm, where p is the characteristic of K. In the current paper, we restrict attention to GL(2,K) and consider the missing cases where r = pm and r = 2pm. In particular, we prove that the indecomposable summand of the rth tensor power of the natural module with highest weight (r ? 1, 1) is a summand of the rth Lie power if and only if r = p or r is not a power of p. © 2011. Published by Oxford University Press. All rights reserved
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
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
Myrsidea klickai Price, Johnson
No full textMyrsidea klickai Price, Johnson, and Dalgleish, new species (Figs. 1–4) Type host. Thamnophilus punctatus (Shaw, 1809), the Northern Slaty Antshrike. Female (5). Metanotum and dorsoventral abdomen as in Fig. 2. Metanotal posterior margin with 6 setae; metasternal plate with 6, much less often 7, setae. Tergal setae: I, 14–16; II, 15–16; III, 15–17; IV, 14–18; V, 16–19; VI, 16–18; VII, 14–17; VIII, 9–10. Sternal setae: II, 12–17 marginal between asters, 7–8 anterior; III, 18–21; IV, 27–34; V, 29–33; VI, 27–31; VII, 9–12; VIII–IX, 16–19. Anus with 38–42 ventral, 39–46 dorsal fringe setae. Dimensions: TW, 0.46–0.49; HL, 0.32–0.34; PW, 0.30–0.32; MW, 0.43–0.45; AWIV, 0.60–0.63; ANW, 0.23–0.25; TL, 1.50–1.57. Male (3). As in Fig. 1. Metanotum and metasternal plate as for female. Tergal setae: I, 7–8; II, 10–12; III– IV, 11–12; V–VI, 12–14; VII, 11–12; VIII, 8. Sternal setae: II, only 3 in each aster, 11–14 marginal between asters, 5–9 anterior; III, 14–18; IV, 23–26; V, 23–27; VI, 22–25; VII, 10–12; VIII, 6–10. Dimensions: TW, 0.43–0.45; HL, 0.31–0.32; PW, 0.28–0.30; MW, 0.38; AWIV, 0.47–0.49; GL, 0.40–0.41; TL, 1.23–1.32. Type material. Holotype male (INHS), ex T. punctatus, PANAMA: Serriana del Maje, 16 Feb. 2006, JMD 649, K. Johnson. Paratypes: (INHS) 1 female, same data as holotype; 2 females, 1 male, PANAMA: Lago Bayano, 12 Feb. 2006, GMS 1768, K. Johnson; 1 female, same except GMS 1770; (USNM) 1 female, 1 male, PANAMA: Lago Bayano, 12 Feb. 2006, GMS 1768. Remarks. This species is separated from the following two species of the group by the combination of dimensions and number of metanotal marginal setae of both sexes, length of male genitalia, and number of setae on male abdominal tergites and dorsal anal fringe of the female. Etymology. This species is named for John Klicka, Marjorie Barrick Museum, University of Nevada, Las Vegas, in recognition of his assistance in collecting the lice used in this study and for his work on avian systematics.Published as part of Price, Roger D., Johnson, Kevin P. & Dalgleish, Robert C., 2008, Five new species of Myrsidea Waterston (Phthiraptera: Menoponidae) from antshrikes and antbirds (Passeriformes: Thamnophilidae), pp. 55-62 in Zootaxa 1819 on pages 56-58, DOI: 10.5281/zenodo.18296
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
Myrsidea vincesmithi Price, Johnson
No full textMyrsidea vincesmithi Price, Johnson, and Dalgleish, new species Type host. Thryothorus rutilus Vieillot, 1819, the Rufous-breasted Wren. Female. Unknown. Male. As for M. bessae, except as follows. Metanotum with 11 marginal setae; metasternal plate with 6 setae. Tergal setae: I, 13; II, 16; III–IV, 18; V, 16; VI, 15; VII, 14; VIII, 12. Postspiracular setae shortest on III and V–VI (not> 0.21 long), extremely long on VII, as long as on VIII. Sternal setae: II, each aster of 3 or 4 setae, 17 marginal between asters, 10 anterior; III, 20; IV, 26; V, 31; VI, 27; VII, 19; VIII, 8. Dimensions: TW, 0.43; HL, 0.29; PW, 0.28; MW, 0.39; AWIV, 0.47; GL, 0.40; TL, 1.22. Type material. Holotype male (to TNHM), ex T. rutilus, TRINIDAD: Cumuto, 17 May 1960, TRVL 4398, Brit. Mus. 1974 - 636. Remarks. While we generally are reluctant to describe a new species from only a single specimen, the differences are so marked in this case that we feel justified in doing so. This species is closest to M. bessae, but is separable by having more setae on all abdominal tergites and sternites as well as on the metanotal margin, and by having an extremely long postspiracular seta on tergite VII. Etymology. This species is named in honor of Vincent Smith, The Natural History Museum, London, in recognition of his contributions to taxonomic databases for lice and work on louse systematics.Published as part of Price, Roger D., Johnson, Kevin P. & Dalgleish, Robert C., 2008, Myrsidea Waterston (Phthiraptera: Menoponidae) from wrens (Passeriformes: Troglodytidae), with descriptions of three new species, pp. 59-65 in Zootaxa 1740 on page 63, DOI: 10.5281/zenodo.18149
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