2,553 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
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
The author/respondent relationship with grey literature : a study in unperformed informal communication
No full textThe author/respondant relationship with grey literature: a study in unperformed informal communication Grey literature is generally supposed to be a medium for informal scientific communication. I shall present the results of an empirical survey of the Information Centre for the Social Sciences (Bonn, F.R.G.) with 1,600 Social Scienctists showing a rather strange and contradictory situation: Although there are strong efforts towards the dissemination of grey literature, there is only very little feed back by the receivers of the papers no matter whether they are personally known to the author or not. The strangest result, however, is that the authors hardly make any use of this feed back, of critical remarks or suggestions, although they make strong efforts towards reworking their papers for subsequent formal publications. They change each and everything - text, data/tables, appendices etc. -, but communication does not seem to have any remarkable influence. So, what is the production and dissemination of GL for? What are the reasons and expectations of authors disseminating their papers (and ignoring the rare responses)? And, what are the normative orientations of the receivers responding or - usually - not responding to the literature? Are there perhaps orientations completely different from those that are suggested by our theories? A convincing answer, I presume, cannot been given as long as we conceptualize the whole connexion as a system only dedicated to one cognitve goal, i.e. informal communication. Instead, we have to admit that there is a complex, multi-functional system consisting of cognitive as well as of social functions, tasks, normative orientations etc.Includes: Conference preprint, Pratt student commentaryXAInternationa
Making the user more efficient: Design for sustainable behaviour
No full textUser behaviour is a significant determinant of a product’s environmental impact; while engineering advances permit increased efficiency of product operation, the user’s decisions and habits ultimately have a major effect on the energy or other resources used by the product. There is thus a need to change users’ behaviour. A range of design techniques developed in diverse contexts suggest opportunities for engineers, designers and other stakeholders working in the field of sustainable innovation to affect users’ behaviour at the point of interaction with the product or system, in effect ‘making the user more efficient’. Approaches to changing users’ behaviour from a number of fields are reviewed and discussed, including: strategic design of affordances and behaviour-shaping constraints to control or affect energyor other resource-using interactions; the use of different kinds of feedback and persuasive technology techniques to encourage or guide users to reduce their environmental impact; and context-based systems which use feedback to adjust their behaviour to run at optimum efficiency and reduce the opportunity for user-affected inefficiency. Example implementations in the sustainable engineering and ecodesign field are suggested and discussed
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