ordinary representation
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2016 ◽  
Vol 55 (3-4) ◽  
Author(s):  
Anna Kérchy

The essay starts out from a close-reading analysis of Lewis Carroll‘s Victorian fairytale fantasies about Alice,s adventures in Wonderland with the aim to explore the complex poetical and political potentials of nonsense as a literary genre and a mode of artistic expression questioning the reliability of representational strategies across a variety of media. Nonsense is decoded as a meaningful yet gradually defamiliarized act of symbolization that makes the implied reader lose confidence in conventional interpretive apparati and urges inventive linguistic creativity and ludic co-authorship. As Lecercle points out, nonsense elicits a self-reflective awareness concerning the ambiguity of common sense and the (mal)functioning of our sense-making methods through revealing the inherent poetic-metaphorical, associative-imaginative surplus, as well as the authoritative ideological charge and socio-historical residue of “ordinary” representation. In a Kristevian sense, the transverbal corporeal facet of the nonsense animates the physicality of the represented-representing bodies and revivifies the materiality of signifying activity‘s lived experience, as incarnated rhythms and sounds stress the sensorial stimulation of the human voice. To understand how “we imagine the unimaginable” I interface ordinary nonsense, logical nonsense (Dunn, McDonald) and ethical nonsense as complementary categories.


Author(s):  
A. I. SHTERN

Continuing the study of representations of amenable groups, we discuss one of the simplest cases in which a (not necessarily bounded) Banach space quasirepresentation of an amenable group is close to an ordinary representation of the group in the same space.


2008 ◽  
Vol 15 (03) ◽  
pp. 391-404 ◽  
Author(s):  
Oliver Ruff

We use techniques of Okounkov and Vershik to study the ordinary representation theory of the alternating groups without relying on the classical results for the symmetric groups. We classify and construct the simple modules, and study their branching properties.


1981 ◽  
Vol 31 (4) ◽  
pp. 486-495 ◽  
Author(s):  
A. K. Holzherr

AbstractWe determine necessary and sufficient conditions for the multiplier representations of a discrete group to be type I. This result extends the corresponding result for ordinary representation given by Kaniuth in [4].


1978 ◽  
Vol 30 (5) ◽  
pp. 1092-1102 ◽  
Author(s):  
Walter Feit ◽  
Jacques Tits

Let G be a finite simple group and let F be an algebraically closed field. A faithful projective F-representation of G of smallest possible degree often cannot be lifted to an ordinary representation of G, though it can of course be lifted to an ordinary representation of some central extension of G. It is a natural question to ask whether by considering non-central extensions, it is possible in some cases to decrease the smallest degree of a faithful projective representation.


1972 ◽  
Vol 13 (1) ◽  
pp. 119-123 ◽  
Author(s):  
R. J. Clarke

In this note we give a basis for the radical of the group algebra of a p-nilpotent group over a field of characteristic p in terms of the ordinary representation theory of the group. We use our result to calculate the exponent of the radical for such a group.


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