scholarly journals Doubling zeta integrals and local factors for metaplectic groups

2012 ◽  
Vol 208 ◽  
pp. 67-95 ◽  
Author(s):  
Wee Teck Gan
Keyword(s):  
Irreducible Representations ◽  
Metaplectic Groups ◽  
Local Factors

AbstractWe develop the theory of the doubling zeta integral of Piatetski-Shapiro and Rallis for metaplectic groups Mp2n, and we use it to give precise definitions of the local γ-factors, L-factors, and ε-factors for irreducible representations of Mp2n × GL1, following the footsteps of Lapid and Rallis.

scholarly journals Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence

2012 ◽  
Vol 148 (6) ◽  
pp. 1655-1694 ◽  
Author(s):  
Wee Teck Gan ◽  
Gordan Savin
Keyword(s):  
Irreducible Representations ◽  
Metaplectic Groups ◽  
Theta Correspondence ◽  
Langlands Correspondence ◽  
Local Langlands Correspondence ◽  
Shimura Correspondence

AbstractUsing theta correspondence, we classify the irreducible representations of Mp2n in terms of the irreducible representations of SO2n+1 and determine many properties of this classification. This is a local Shimura correspondence which extends the well-known results of Waldspurger for n=1.

Genericity of Representations of p-Adic Sp2n and Local Langlands Parameters

2011 ◽  
Vol 63 (5) ◽  
pp. 1107-1136 ◽  
Author(s):  
Baiying Liu
Keyword(s):  
Local Field ◽  
Symplectic Group ◽  
Rational Points ◽  
Descent Method ◽  
Irreducible Representations ◽  
Local Factors ◽  
Langlands Parameters ◽  
Repre Sentations

Abstract Let G be the F-rational points of the symplectic group Sp2n, where F is a non-Archimedean local field of characteristic 0. Cogdell, Kim, Piatetski-Shapiro, and Shahidi constructed local Lang- lands functorial lifting from irreducible generic representations of G to irreducible representations of GL2n+1(F). Jiang and Soudry constructed the descent map from irreducible supercuspidal repre- sentations of GL2n+1(F) to those of G, showing that the local Langlands functorial lifting from the irreducible supercuspidal generic representations is surjective. In this paper, based on above results, using the same descent method of studying SO2n+1 as Jiang and Soudry, we will show the rest of local Langlands functorial lifting is also surjective, and for any local Langlands parameter , we construct a representation such that and ¾ have the same twisted local factors. As one application, we prove the G-case of a conjecture of Gross-Prasad and Rallis, that is, a local Langlands parameter is generic, i.e., the representation attached to is generic, if and only if the adjoint L-function of is holomorphic at s = 1. As another application, we prove for each Arthur parameter , and the corresponding local Langlands parameter , the representation attached to is generic if and only if is tempered.

A Functional Equation for Degree two Local Factors

1985 ◽  
Vol 28 (3) ◽  
pp. 355-371
Author(s):  
Paul Gérardin ◽  
Wen-Ch'ing Winnie Li
Keyword(s):  
Functional Equation ◽  
Local Field ◽  
Fourier Transforms ◽  
Discrete Series ◽  
Irreducible Representations ◽  
Quaternion Group ◽  
Langlands Correspondence ◽  
Local Factors

AbstractWe show that the Fourier transforms of the admissible irreducible representations of the group GL2 over a nonarchimedian local field F are characterized by a functional equation (MF). We also prove that the functions satisfying (MF) and having at most one pole are exactly the Fourier transforms of the irreducible representations of the quaternion group H over F. The Jacquet-Langlands correspondence between irreducible representations of H and discrete series of GL2 then follows immediately from our criteria.

An Intuitive Method for the Determination of Crystal-Field Parameters in Laser Crystals

1993 ◽  
Vol 329 ◽  
Author(s):  
Frederick G. Anderson ◽  
H. Weidner ◽  
P. L. Summers ◽  
R. E. Peale ◽  
B. H. T. Chai
Keyword(s):  
Crystal Field ◽  
Irreducible Representations ◽  
Laser Crystals ◽  
Intuitive Method ◽  
Crystal Field Parameters ◽  
Intuitive Interpretation

AbstractExpanding the crystal field in terms of operators that transform as the irreducible representations of the Td group leads to an intuitive interpretation of the crystal-field parameters. We apply this method to the crystal field experienced by Nd3+ dopants in the laser crystals YLiF4, YVO4, and KLiYF5.

Comparative Clinical study of Jatyadi Taila and Jatyadi Ghrita in the management of Dushta Vrana

2018 ◽  
Vol 3 (3) ◽  
Author(s):  
Rajendra Joshi ◽  
N. B. Mashetti ◽  
Rakesh Kumar Gujar
Keyword(s):  
Clinical Study ◽  
Burning Sensation ◽  
Normal Process ◽  
Surgical Practice ◽  
Local Factors ◽  
Significant Difference ◽  
Comparative Clinical Study ◽  
Group A ◽  
Contaminated Wound ◽  
Group B

Dushta Vrana is a common and frequently encountered problem faced in surgical practice. The presence of Dushta Vrana worsens the condition of the patient with different complications and may become fatal. Local factors on wound like slough, infection and foreign body, affect the normal process of healing. A healthy wound in a normal body heals earlier with a minimum scar as compared to a contaminated wound. Therefore in this study all the efforts are made to make a Dushta Vrana into a Shuddha Vrana. Once the Vrana becomes Shuddha, Ropana of the Vrana will start. The objective of the study was to evaluate the clinical efficacy of Jatyadi Taila and Jatyadi Ghrita in Dushta Vrana. Clinically diagnosed 60 Patients of Dushta Vrana were randomly divided into two groups, each consisting of 30 Patients. Group A were treated with the Jatyadi Taila and Group B was treated by Jatyadi Ghrita. The results observed was based on the relief obtained on the subjective and objective parameters taken for consideration for this study viz, size of ulcer, discharge, smell, pain, burning sensation, itching and granulation were found significant (P Lass Than 0.05). On the basis of assessment criteria and overall result of treatment, the patients of Jatyadi Taila group showed better results when compared to Jatyadi Ghrita group. Even though statistically there is no much significant difference between the two groups, but by seeing the effect on individual parameters (subjective and objective) and over all response, Jatyadi Taila seems to be effective when compared to Jatyadi Ghrita. It is having more Ropana qualities when compared to Shodhana.

Movilidad laboral geográfica en un antiguo enclave minero. La inversión de un mercado de trabajo local

2016 ◽  
Vol 11 (18) ◽  
Author(s):  
Camilo Contreras Delgado
Keyword(s):  
Labor Market ◽  
Labor Markets ◽  
Economic History ◽  
Labor Mobility ◽  
Work Place ◽  
Local Labor Markets ◽  
Local Labor Market ◽  
Local Factors ◽  
The Social ◽  
History Of

Resumen:Este artículo examina los fa c t o res internos y externos a una localidad que son copartícipes en la estructuración y reestructuración de su mercado de trabajo local. A partir de la revisión de la historia social y económica del lugar, se destaca su tránsito de enclave minero a lugar de residencia de mineros y trabajadores de maquiladoras. En este caso, se presenta la constitución de los mercados de trabajo locales como un resultado del encuentro de las condiciones del lugar de residencia de los trabajadores y el lugar donde se encuentra el centro de trabajo. De aquí que la movilidad laboral geográfica aparezca como una de las tácticas de los sujetos ante una situación de desempleo.Palabras clave: Mercado de trabajo, Minería, Maquiladoras, Mineros, Movilidad laboral, Desempleo.Abstract:This article examines the internal and external local factors shaping the structuring and restructuring of a local labor market. By reviewing the social and economic history of the community, this article underlines its transition from a mining setting to a residence place for miners and maquila workers. In this case, the constitution of local labor markets is presented as a result of the condition encounter of both workers residence place and the location of the work place. This is a reason explaining why geographical labor mobility comes to be an actor tactic to face unemployment.Key words: Labor market, Mining, Export-oriented industry, Miners, Labor mobility, Unemployment.

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