3,410 research outputs found
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
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
Structure of RSD5-GL in complex with prefusion RSV F.
No full text(A) Crystal structure overview shows three RSD5-GL Fabs bound to the prefusion RSV F trimer, viewed looking along or toward the viral membrane. One RSV F protomer and the contacted RSD5-GL Fab are shown in ribbon representation (left panel), whereas the other protomers and Fabs are shown as molecular surfaces. The RSD5-GL heavy chain is colored red and the light chain is white. One RSV F protomer is colored green for F1 and blue for F2, whereas the other two RSV F protomers are tan and pink. (B) Close-up of the side views of the interactions between one RSD5-GL Fab and one RSV F protomer in ribbon-and-stick representation, rotated 180° from each other and colored as in (A). For stick models, oxygen atoms are colored red, nitrogen blue, and sulfur yellow. (C) Ribbon-and-stick model of the RSD5-GL CDR loops contacting one protomer of RSV F, which is shown as a molecular surface. Colored as in (B) and rotated as indicated. (D) The amino acid sequence of residues near RSV F site Ø and site V are shown for both strain A2 and strain B9320. Diamond symbols above each residue indicate a contact between RSD5-GL and prefusion RSV F strain A2 based upon PDBePISA analysis of the crystal structure.</p
Implications of muon g-2 for supersymmetry and for discovering superpartners directly
No full textWe study the implications of interpreting the recent muon g-2 deviation from the Standard Model prediction as evidence for virtual superpartners, with very general calculations that include effects of phases and are consistent with all relevant constraints. The most important result is that there are upper limits on masses: at least one superpartner mass is below about 350 GeV (for the theoretically preferred value of tan(beta)=35) and may be produced at the Fermilab Tevatron in the upcoming run, and there must be chargino, neutralino, and slepton masses below about 600 GeV. In addition, tan(beta) must be larger than about 8
AM22, RSD5-GL, and D25 have overlapping epitopes at the apex of the RSV F trimer.
No full text(A) Surface representations of a single AM22, RSD5-GL, and D25 Fab bound to the apex of the RSV F trimer, viewed looking along or toward the viral membrane. The three RSV F protomers are colored light green, tan, and pink. AM22 is colored purple, RSD5-GL is colored red, and D25 is colored blue. (B) Surface representations of the apex of the RSV F trimer highlight the epitope of each antibody on a single F protomer. The epitope for each antibody is shown on the green protomer, and the epitope itself is colored purple for AM22, red for RSD5-GL, and blue for D25. (C) The amino acid sequence of residues near RSV F site Ø is shown for both strain A2 and strain B9320. Diamond symbols above each residue indicate a contact between D25 and prefusion RSV F strain A2 based upon PDBePISA analysis of the crystal structure.</p
The Acquisition of Grey Literature in Developing Countries
No full textGL constitutes an important information collection in research and university libraries. Despite its eminent value and importance to both scholars and scientists, the procurement of these collection poses serious problems to information professionals. These problems are particularly serious in he third world where bibliographic control activities have yet to catch up with the developed world. This project will therefore attempt to analyse the practice and problems associated with the procurement of this collection in the developing world. The aims and objectives are: to examine the procurement of GL in developing countries; to critically examine the various acquisition methods employed in the procurement of the collection; to analyse the problems experienced in their procurement; to propose solutions to the stated problems. The author hopes to base his study on the following research methodologies. Literature Review: Will be made to scan all documentary information related to the above subject. Much information is anticipated from journal articles, conference papers and to a limited extent, books. Interview: The author hopes to interview a number of people on the subject in Kenya. Among them will be information professionals in university and research libraries; and researchers and scholars who by nature of their programmes use unpublished literature. For information professionals outside Kenya, the author hopes to write to a selected few to seek their views on specific issues. Author's Experience: The author also hopes to draw on his considerable experience as an acquisition librarian in special and research libraries in the third world. The conclusion will be based on the research findings. The research will no doubt highlight the problems existing in the area of GL acquisition and their possible solutions.Includes: Conference preprint, Pratt student commentaryXAInternationa
On nonemptiness of Newton strata in the -Grassmannian for
No full textWe study the Newton stratification in the -Grassmannian for
associated to an arbitrary (possibly nonbasic) element of
. Our main result classifies all nonempty Newton strata in an
arbitrary minuscule Schubert cell. For a large class of elements in
, our classification is given by some explicit conditions in
terms of Newton polygons. For the proof, we proceed by induction on n using a
previous result of the author that classifies all extensions of two given
vector bundles on the Fargues-Fontaine curve.Comment: 21 pages, 8 figures, improved expositio
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