An explicit matching theorem for level zero discrete series of unit groups ofp-adic simple algebras

2005 ◽  
Vol 2005 (585) ◽  
pp. 173-235 ◽  
Author(s):  
Allan J. Silberger ◽  
Ernst-Wilhelm Zink
Keyword(s):  
Discrete Series ◽  
Level Zero ◽  
Matching Theorem ◽  
Simple Algebras

scholarly journals Weak Explicit Matching for Level Zero Discrete Series of Unit Groups of 𝔭-Adic Simple Algebras

2003 ◽  
Vol 55 (2) ◽  
pp. 353-378 ◽  
Author(s):  
Allan J. Silberger ◽  
Ernst-Wilhelm Zink
Keyword(s):  
Local Field ◽  
Discrete Series ◽  
Unit Group ◽  
Level Zero ◽  
Series Representations ◽  
Matching Theorem ◽  
Discrete Series Representations ◽  
Simple Algebras ◽  
Central Simple

AbstractLet F be a p-adic local field and let be the unit group of a central simple F-algebra Ai of reduced degree n > 1 (i = 1, 2). Let ℛ2() denote the set of irreducible discrete series representations of . The “Abstract Matching Theorem” asserts the existence of a bijection, the “Jacquet- Langlands” map, which, up to known sign, preserves character values for regular elliptic elements. This paper addresses the question of explicitly describing the map 𝒥ℒ, but only for “level zero” representations. We prove that the restriction is a bijection of level zero discrete series (Proposition 3.2) and we give a parameterization of the set of unramified twist classes of level zero discrete series which does not depend upon the algebra Ai and is invariant under 𝒥ℒA2,A1 (Theorem 4.1).

scholarly journals Level Zero Types and Hecke Algebras for Local Central Simple Algebras

2001 ◽  
Vol 91 (1) ◽  
pp. 92-125 ◽  
Author(s):  
Martin Grabitz ◽  
Allan J Silberger ◽  
Ernst-Wilhelm Zink
Keyword(s):  
Hecke Algebras ◽  
Central Simple Algebras ◽  
Level Zero ◽  
Simple Algebras ◽  
Central Simple

A Stochastic Model for the Inheritance of the Cancer Proneness Phenotype

1987 ◽  
Vol 26 (03) ◽  
pp. 117-123
Author(s):  
P. Tautu ◽  
G. Wagner
Keyword(s):  
Stochastic Model ◽  
Gaussian Process ◽  
Covariance Function ◽  
Neoplastic Disease ◽  
Disease Phenotype ◽  
Probabilistic Representation ◽  
Temporal Behaviour ◽  
Continuous Trait ◽  
Continuous Parameter ◽  
Level Zero

SummaryA continuous parameter, stationary Gaussian process is introduced as a first approach to the probabilistic representation of the phenotype inheritance process. With some specific assumptions about the components of the covariance function, it may describe the temporal behaviour of the “cancer-proneness phenotype” (CPF) as a quantitative continuous trait. Upcrossing a fixed level (“threshold”) u and reaching level zero are the extremes of the Gaussian process considered; it is assumed that they might be interpreted as the transformation of CPF into a “neoplastic disease phenotype” or as the non-proneness to cancer, respectively.

Hard Objects in George Oppen's Discrete Series

2018 ◽  
Vol 13 (4) ◽  
pp. 496-517
Author(s):  
Ned Hercock
Keyword(s):  
Twentieth Century ◽  
Ludwig Wittgenstein ◽  
Discrete Series ◽  
Human Experience ◽  
John Ruskin ◽  
Gerard Manley Hopkins ◽  
Marcel Duchamp ◽  
The World ◽  
Production History ◽  
History Of

This essay examines the objects in George Oppen's Discrete Series (1934). It considers their primary property to be their hardness – many of them have distinctively uniform and impenetrable surfaces. This hardness and uniformity is contrasted with 19th century organicism (Gerard Manley Hopkins and John Ruskin). Taking my cue from Kirsten Blythe Painter I show how in their work with hard objects these poems participate within a wider cultural and philosophical turn towards hardness in the early twentieth century (Marcel Duchamp, Adolf Loos, Ludwig Wittgenstein and others). I describe the thinking these poems do with regard to industrialization and to human experience of a resolutely object world – I argue that the presentation of these objects bears witness to the production history of the type of objects which in this era are becoming preponderant in parts of the world. Finally, I suggest that the objects’ impenetrability offers a kind of anti-aesthetic relief: perception without conception. If ‘philosophy recognizes the Concept in everything’ it is still possible, these poems show, to experience resistance to this imperious process of conceptualization. Within thinking objects (poems) these are objects which do not think.

ANALISIS TATANIAGA TANDAN BUAH SEGAR KELAPA SAWIT DI DESA TEMPAKAN KECAMATAN BATU ENGAU KABUPATEN PASER (Marketing Analysis of Fresh Fruit Bunches of Oil Palm in Tempakan Village, Batu Engau Subregency, Paser Regency)

2019 ◽  
Vol 2 (2) ◽  
pp. 113
Author(s):  
SIMON SUTRADO SIMANJUNTAK ◽  
ACHMAD ZAINI
Keyword(s):  
Oil Palm ◽  
Sampling Method ◽  
Marketing Channel ◽  
Marketing Channels ◽  
Fresh Fruit ◽  
Snowball Sampling ◽  
Level Zero ◽  
Average Share ◽  
Marketing Analysis ◽  
Fresh Fruit Bunches

The purposes of this study were to know marketing channel, marketing margin, share, and marketing profit of fresh fruit bunches of oil palm in Tempakan Village, Batu Engau Subregency, Paser Regency. The study was conducted from June to August 2016. The sampling method was done with two ways as random sampling in farmer level and in marketing channel as snowball sampling. Data analysis were done by calculating marketing margin, share, and marketing profit. The results of this study showed that there are two marketing channels in reserach location are channel of level zero and channel of level one. Marketing margin in farmer level was Rp40.39 kg-1 and margin in whole trader level was Rp314.44 kg-1. The average share of farmer level was 97.58% and in trader level was 81.48%. Margin and share that profitable for farmer is at channel of level zero. The average of profit in whole trader level of fresh fruit bunches was 112.75%, that meant marketing by whole trader is profitable.

Representations induced from the Zelevinsky segment and discrete series in the half-integral case

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ivan Matić
Keyword(s):  
Linear Group ◽  
Local Field ◽  
General Linear Group ◽  
Discrete Series ◽  
Series Representation ◽  
General Linear ◽  
Composition Series ◽  
Induced Representations ◽  
Discrete Series Representation

AbstractLet {G_{n}} denote either the group {\mathrm{SO}(2n+1,F)} or {\mathrm{Sp}(2n,F)} over a non-archimedean local field of characteristic different than two. We study parabolically induced representations of the form {\langle\Delta\rangle\rtimes\sigma}, where {\langle\Delta\rangle} denotes the Zelevinsky segment representation of the general linear group attached to the segment Δ, and σ denotes a discrete series representation of {G_{n}}. We determine the composition series of {\langle\Delta\rangle\rtimes\sigma} in the case when {\Delta=[\nu^{a}\rho,\nu^{b}\rho]} where a is half-integral.

Simple algebras in varieties

1982 ◽  
Vol 14 (1) ◽  
pp. 36-43 ◽  
Author(s):  
W. A. Lampe ◽  
W. Taylor
Keyword(s):  
Simple Algebras
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