Local character expansions and Shalika germs for GL(n)

1996 ◽  
Vol 304 (1) ◽  
pp. 423-455 ◽  
Author(s):  
Fiona Murnaghan
Keyword(s):  
Local Character ◽  
Shalika Germs

scholarly journals A formula for certain Shalika germs of ramified unitary groups

2017 ◽  
Vol 153 (1) ◽  
pp. 175-213
Author(s):  
Cheng-Chiang Tsai
Keyword(s):  
Residue Field ◽  
Hyperelliptic Curves ◽  
Unitary Groups ◽  
Nilpotent Orbits ◽  
Orbital Integrals ◽  
Supercuspidal Representations ◽  
Local Character ◽  
Shalika Germs ◽  
Whittaker Models

In this article, for nilpotent orbits of ramified quasi-split unitary groups with two Jordan blocks, we give closed formulas for their Shalika germs at certain equi-valued elements with half-integral depth previously studied by Hales. Associated with these elements are hyperelliptic curves defined over the residue field, and the numbers we obtain can be expressed in terms of Frobenius eigenvalues on the first$\ell$-adic cohomology of the curves, generalizing previous result of Hales on stable subregular Shalika germs. These Shalika germ formulas imply new results on stability and endoscopic transfer of nilpotent orbital integrals of ramified unitary groups. We also describe how the same numbers appear in the local character expansions of specific supercuspidal representations and consequently dimensions of degenerate Whittaker models.

Local Character Expansions for Supercuspidal Representations of U(3)

1995 ◽  
Vol 47 (3) ◽  
pp. 606-640 ◽  
Author(s):  
Fiona Murnaghan
Keyword(s):  
Invariant Measures ◽  
Fourier Transforms ◽  
Exponential Map ◽  
Supercuspidal Representations ◽  
Local Character ◽  
Elliptic Orbits ◽  
Adjoint Orbits ◽  
Shalika Germs ◽  
The Fourier Transform ◽  
The Relationship

AbstractThe topic of this paper is the relationship between characters of irreducible supercuspidal representations of the p-adic unramified 3 x 3 unitary group and Fourier transforms of invariant measures on elliptic adjoint orbits in the Lie algebra. We prove that most supercuspidal representations have the property that, on some neighbourhood of zero, the character composed with the exponential map coincides with the formal degree of the representation times the Fourier transform of a measure on one elliptic orbit. For the remainder, a linear combination of the Fourier transforms of measures on two elliptic orbits must be taken. As a consequence of these relations between characters and Fourier transforms, the coefficients in the local character expansions are expressed in terms of values of Shalika germs. By calculating which of the values of the Shalika germs associated to regular nilpotent orbits are nonzero, we determine which irreducible supercuspidal representations have Whittaker models. Finally, the coefficients in the local character expansions of three families of supercuspidal representations are computed.

scholarly journals Allies among Enemies: Political authority and party (dis)loyalty in Bangladesh

2021 ◽  
pp. 1-25
Author(s):  
DAVID JACKMAN ◽  
MATHILDE MAÎTROT
Keyword(s):  
Political Competition ◽  
Political Authority ◽  
Party Competition ◽  
Political Leaders ◽  
Party Discipline ◽  
Parliamentary Elections ◽  
Local Character ◽  
Party Members ◽  
Member Of Parliament ◽  
Ruling Party

Abstract The authority of political leaders in Bangladesh rests on diverse qualities, not least of which are the muscle and finance they can mobilize, and the relationships they can craft with senior party members. These are utilized to confront rivals both within and outside their own party. In some instances, the intensity of intra-party competition can be so severe that a further quality emerges: the capacity to find allies among enemies. Building local inter-party alliances can bolster the authority of politicians, yet be to the detriment of party coherence. This argument is developed through an analysis of mayoral and parliamentary elections held in the past decade in a small Bangladeshi city, where a ruling party member of parliament (MP) and opposition mayor appear to have developed such a relationship. This has thwarted the electoral ambitions of their fellow party members and has posed a serious challenge to party discipline. While political competition is often seen as being either inter- or intra-party, here it is focused around inter-party alliances. This portrayal suggests we need to give greater emphasis to the decentralized and local character that political authority can take in Bangladesh.

Evidence on the local character of spatial frequency channels in the human visual system

1985 ◽  
Vol 25 (9) ◽  
pp. 1233-1240 ◽  
Author(s):  
Eckart Perizonius ◽  
Wolfgang Schill ◽  
Hans Geiger ◽  
Rainer Röhler
Keyword(s):  
Spatial Frequency ◽  
Visual System ◽  
Human Visual System ◽  
Local Character

New Trends in Asymptotic Approaches: Summation and Interpolation Methods

2001 ◽  
Vol 54 (1) ◽  
pp. 69-92 ◽  
Author(s):  
Igor V. Andrianov ◽  
Jan Awrejcewicz
Keyword(s):  
Applied Sciences ◽  
Solid Mechanics ◽  
State Of The Art ◽  
Asymptotic Methods ◽  
Perturbation Series ◽  
Review Article ◽  
Point Of View ◽  
Advantages And Disadvantages ◽  
New Methods ◽  
Local Character

In this review article, we present in some detail new trends in application of asymptotic techniques to mechanical problems. First we consider the various methods which allows for the possibility of extending the perturbation series application space and hence omiting their local character. While applying the asymptotic methods very often the following situation appears: an existence of the asymptotics ε → 0 implies an existence of the asymptotics ε → ∞ (or, in a more general sense, ε → a and ε → b). Therefore, an idea of constructing a single solution valid for a whole interval of parameter ε changes is very attractive. In other words, we discuss a problem of asymptotically equivalent function constructions possessing for ε → a and ε → b a known asymptotic behavior. The defined problems are very important from the point of view of both theoretical and applied sciences. In this work, we review the state-of-the-art, by presenting the existing methods and by pointing out their advantages and disadvantages, as well as the fields of their applications. In addition, some new methods are also proposed. The methods are demonstrated on a wide variety of static and dynamic solid mechanics problems and some others involving fluid mechanics. This review article contains 340 references.

Transmission of Tension From a Bar to a Plate

1954 ◽  
Vol 21 (2) ◽  
pp. 147-150
Author(s):  
J. N. Goodier ◽  
C. S. Hsu
Keyword(s):  
Fatigue Strength ◽  
Strain Gage ◽  
Plane Stress ◽  
Fair Agreement ◽  
Lap Joint ◽  
Concentrated Force ◽  
Considerable Fraction ◽  
Stress Calculation ◽  
Local Character

Abstract When a bar or strip is lap-jointed to a plate, and transmits tension to it, the transmission is not effected only by a smooth distribution of force along the lap joint; there is also a highly concentrated force, a considerable fraction of the total tension, where the bar meets the plate, and a second force at the end of the bar. These forces are investigated by strain-gage measurements for various lengths of lap, and by a plane-stress calculation, with fair agreement. The results suggest that the fatigue strength of such joints will depend on the detailed local character of the joint where the bar meets the plate, rather than on the length of the joint.

Latviešu metālmūzikas albumu nosaukumi

2021 ◽  
pp. 361-369
Author(s):  
Ingars Gusāns
Keyword(s):  
Current Situation ◽  
Creative Work ◽  
Distinctive Character ◽  
Literary Works ◽  
The Third ◽  
Metal Music ◽  
Local Character ◽  
The Subject ◽  
The Common

The aim of the study is to describe the titles of Latvian metal music albums, from the perspective of content, by identifying the common and distinctive character of the metallic music tradition, and perhaps even the local one. Of 241 album titles (data on Dec. 31, 2019), most are in English, some in French, Latin, Russian, some consisting of digits, and 69 titles in Latvian. These titles are the subject of the research. The main source is Encyclopaedia Metallum (www.metal-archives.com), which still does not reflect the current situation concerning Latvian metal music. Album titles in this study are viewed separately from album designs and song titles and are analysed from the perspective of content. The album title is an important part of the work that has been issued because it is an element that makes the audience/buyer pay attention to the album because it must not be forgotten that today the album is also an item that you want to sell. In general, it can be concluded that Latvian metal musicians, with their album titles in Latvian, are mostly following world trends, as evidenced by the integration in the researcher Deena Weinstein’s classification of Dionysian discourse and discourse on chaos. Most titles are more relevant to the discourse on chaos because the thematic circle of chaos is wider. Latvian mythology, along with history, is an up-to-date source for the creative work of bands that is responsible for the local feeling of the titles. A large enough number are titles that are difficult to fit in the Weinstein’s division and form the third group with philosophical titles and simply all sorts of titles. If the philosophical titles follow the world’s trends, the simple titles include the names of the events, tributes, and the titles of literary works, which give them a local character.

Upward continuation of scattered potential field data

Geophysics ◽  
1999 ◽  
Vol 64 (2) ◽  
pp. 443-451 ◽  
Author(s):  
Maurizio Fedi ◽  
Antonio Rapolla ◽  
Guido Russo
Keyword(s):  
Linear Combination ◽  
Computation Time ◽  
Measured Data ◽  
Potential Field Data ◽  
Zero Level ◽  
Local Character ◽  
Upward Continuation ◽  
Data Points ◽  
The Stability ◽  
Variable Topography

Numerous methods have been used for upward continuation, but most of them require data on a regular grid. Gridding can introduce errors that affect the continued data in an unpredictable way. To avoid this problem, we design a continuation operator used for the direct continuation of scattered data on a 3-D basis. In this approach a harmonic function, satisfying the constraints imposed by the measured data, is developed. The continuation is written in the form of a linear combination of the measured data, but it depends on the arbitrary choice of the topographic zero level. However, the coefficients of the linear combination depend only on the position of the data points. This allows the zero level to be estimated on the basis of the continuation of synthetic anomalies calculated between the starting and ending surface. An important feature of the method is its local character, which allows the reduction of computation time. Also, the stability of the method for noisy data is reasonably good. The method is applied to both synthetic and real cases. Synthetic examples show how gridding‐related errors may affect the continuation when an irregular distribution of data points and a variable topography are considered.

scholarly journals Erythraeid larvae parasitizing dragonflies in Zambia—description of Leptus (Leptus) chingombensis sp. nov. with data on biology and ecology of host-parasite interactions

2019 ◽  
Vol 24 (5) ◽  
pp. 790
Author(s):  
Rafał Bernard ◽  
Magdalena Felska ◽  
Joanna Mąkol
Keyword(s):  
Dna Barcode ◽  
Morphological Characteristics ◽  
Parasite Load ◽  
Ventral Side ◽  
Habitat Conditions ◽  
Local Character ◽  
Host Parasite Interactions ◽  
Group Variation ◽  
The Common ◽  
Host Parasite

A survey of odonate fauna in Zambia (Central Province, Luano District) resulted in discovery of ectoparasitic larvae of Leptus (L.) chingombensis sp. nov. (Trombidiformes: Parasitengona, Erythraeidae) on four species of dragonflies (Odonata) representing four different families assigned to Zygoptera and Anisoptera. The morphological characteristics of the new species is supported with DNA barcode sequence. Despite some intra-group variation related to relatively large sample, the morphological and genetic consistence confirm the common specific identity of the material. A brief comparison of Leptus spp. hitherto known from the Afrotropic as larvae is given. Supplementary data to the descriptions of Leptus (L.) bicristatus Fain et Elsen, 1987, Leptus (L.) aldonae Haitlinger, 1987 and Leptus (L.) soddagus Haitlinger, 1990, based on examination of type material, are provided. In the case of L. (L.) chingombensis sp. nov., the parasite load reached high, previously not recorded for Odonata–terrestrial Parasitengona association values, attaining at 44 and 49 larvae. Clear topic preferences towards the ventral side of the host’s body were recorded, with an additional tendency to distal parts of synthorax and the ventral depression of the abdomen. We hypothesize that the infestation did not take place synchronously at dragonflies emergence, but consisted in repeated infestation events during the recurrent appearance of dragonflies in the contact microhabitat occupied by Leptus. The very local character of the finding along with the regular appearance of larvae parasitizing dragonflies, obviously favoured by specific habitat conditions, no doubts confirms the non-accidental nature of the phenomenon.

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