Representation Theory

El antirrepresentacionalismo de Hegel y su concepción del conocimiento como praxis intersubjetiva

by Hector Ferreiro

Este artículo aparecerá publicado próximamente en una antología de trabajos sobre la filosofía de Hegel editada por Daniel Brauer en la Editorial Prometeo, Buenos Aires, 2012.

Les lieutenants généraux des rois d’Aragon de la fin du Moyen Âge : médiateurs de la parole du prince ou voix de la royauté ?

by Alexandra Beauchamp

published in "Cahiers d’Etudes Médiévales Hispaniques", 31 (2008), p. 45-64.

Lorsqu’ils quittent temporairement les territoires de leur Couronne ou sont dans l’incapacité de satisfaire à leurs... more Lorsqu’ils quittent temporairement les territoires de leur Couronne ou sont dans l’incapacité de satisfaire à leurs obligations de gouvernement, les rois d’Aragon de la fin du Moyen Âge procèdent à la nomination d’un (ou d’une) lieutenant général, chargé de les substituer. A travers l’exemple de grands représentants actifs entre le milieu du XIVe et le milieu du XVe siècle, cet article analyse les usages gouvernementaux de la parole pour mesurer l’importance de l’acte de parole dans le quotidien du pouvoir royal délégué. La portée et la nature de cette parole sont aussi questionnées, car bien qu’ils se doivent d’agir à l’image de leur souverain et en alter ego de ce dernier, les lieutenants généraux demeurent aussi soumis à son autorité et aux contraintes pesant sur le pouvoir royal.

The Relation between Language and Thought according to Hegel

by Hector Ferreiro

Slightly re-elaborated english version of the article “La relación entre lenguaje y pensamiento en el Sistema hegeliano”, published in Oliva Mendoza, Carlos (ed.), Hegel: Ciencia, Experiencia y Fenomenología, Ediciones de la Facultad deFilosofía y Letras de la Universidad Nacional Autónoma de México, México, 2010, 21-33. (I read this paper at the "Workshop Kant-Fichte-Hegel", Department of Philosophy and Moral Science, Ghent University, Belgium, June 24, 2011)

El concepto de representacion en la filosofia de Hegel

by Hector Ferreiro

En: Escritos de Filosofía, Buenos Aires, 35-36, 1999, págs. 99-130.

Red Herrings and Fishy Tails in the North Sea

by Liza Griffin

2008 CSD Bulletin. 15. (2) pp7-13.

Auslander-Reiten theory of Frobenius-Lusztig kernels

by Julian Külshammer

In this paper we show that the tree class of a component of the stable Auslander-Reiten quiver of a Frobenius-Lusztig... more In this paper we show that the tree class of a component of the stable Auslander-Reiten quiver of a Frobenius-Lusztig kernel is one of the three infinite Dynkin diagrams. For the special case of the small quantum group we show that the periodic components are homogeneous tubes and that the non-periodic components have shape Z[A_\infty] if the component contains a module for the infinite-dimensional quantum group.

Auslander-Reiten theory of small half quantum groups

by Julian Külshammer

For the small half quantum groups and we show that the components of the stable Auslander-Reiten quiver containing... more For the small half quantum groups and we show that the components of the stable Auslander-Reiten quiver containing gradable modules are of the form Z[A_\infty].

REAL REPRESENTATIONS OF FINITE GROUPS

by Stefan Karpinski

Populism, or, politics at the edges of democracy (2003)

by Benjamin Arditi

in Contemporary Politics, Vol. 9, No. 1, 2003, pp. 18-31

Traditional approaches to the study of populism highlight the connection with modernization, the enfranchisement of... more Traditional approaches to the study of populism highlight the connection with modernization, the enfranchisement of the underdogs, and the role played by charismatic leaders. More recently, the literature has begun to discuss the connection between populism and democracy. This article takes on this relation by thinking populism as an internal periphery of democratic politics. It proceeds to develop this intuition by identifying three possible iterations of the populist phenomenon. The first one looks at populism as a mode of representation. The second possibility, populism as a symptom of democratic politics, ups the ante by looking at the tensions that push populism to the edges of democracy without necessarily stepping out. The third line of inquiry looks at the populist mobilization as a possible underside or nemesis of democracy.

Internet e Parlamento: Um estudo dos mecanismos de participação oferecidos pelo Poder Legislativo através de ferramentas online / Internet, Participation and Parliament in Brazil

by Francisco Paulo Jamil Marques

Title in English: Internet and Parliament in Brazil: Participatory Resources

Text in Portuguese. Abstract in English available: This article examines the opportunities of participation offered by... more Text in Portuguese. Abstract in English available: This article examines the opportunities of participation offered by six Brazilian Parliament websites: the Federal House of Representatives, and its corresponding Assemblies in five states (Bahia, Goiás, Pará, Rio Grande do Sul, and São Paulo). In order to consider how adequate the participatory resources found in these websites are, one takes into account the deliberative model of democracy. All the experiences but the Federal House of Representatives website are shy regarding the employment of the tools technically available.

Almost split sequences for commutative Artinian rings

by Dag Oskar Madsen

Published in: "Algebras and modules, II" (Geiranger, 1996), 403-408, CMS Conference Proceedings, 24, American Mathematical Society, Providence, RI, 1998
Math Reviews: MR1648641

Representation in postcolonial analysis

by Noel B. Salazar

Salazar, Noel B. 2008. Representation in postcolonial analysis. In W. A. Darity (Ed.), International Encyclopedia of the Social Sciences (2nd ed., Vol. 7, pp. 172-173). Detroit: Macmillan Reference USA.

Quasi-hereditary algebras and generalized Koszul duality

by Dag Oskar Madsen

We present an easily applicable sufficient condition for standard Koszul algebras to be Koszul with respect to... more We present an easily applicable sufficient condition for standard Koszul algebras to be Koszul with respect to $\Delta$. If a quasi-hereditary algebra $\L$ is Koszul with respect to $\Delta$, then $\L$ and the extension algebra of $\Delta$ are Koszul dual in a sense explained below, implying in particular that their bounded derived categories of finitely generated graded modules are equivalent. We also prove that the extension algebra of $\Delta$ is Koszul in the classical sense.

Filtrations in abelian categories with a tilting object of homological dimension two

by Dag Oskar Madsen

Co-authored with Bernt Tore Jensen and Xiuping Su
Accepted for publication in Journal of Algebra and Its Applications

We consider filtrations of objects in an abelian category $\catA$ induced by
a tilting object $T$ of homological... more We consider filtrations of objects in an abelian category $\catA$ induced by
a tilting object $T$ of homological dimension at most two. We define three pairwise
disjoint extension closed subcategories $\mathcal{E}^0, \mathcal{E}^1$ and $\mathcal{E}^2$
with $Hom(\mathcal{E}^i,\mathcal{E}^j)=0$
for $j>i$, such that each object in $\catA$ has a unique filtation with factors in these
categories. In dimension one, this filtration coincides with the classical two-step
filtration induced by the torsion pair. We also give a refined filtration, using the derived
equivalence between the derived categories of $\catA$ and the module category of
$End_\catA (T)^{op}$.

Irreducible Representations of Baumslag-Solitar Groups

by Daniel McLaury

We classify the finite-dimensional irreducible linear representations of the Baumslag-Solitar groups BS(p,q) = < a,... more We classify the finite-dimensional irreducible linear representations of the Baumslag-Solitar groups BS(p,q) = < a, b | a b^p = b^q a > for relatively prime p and q. The general strategy of the argument is to consider the matrix group given by image of a representation and study its Zariski closure in GL(n, C).

Postcards from the Economic Abyss: What Ireland and Iceland can teach us about Tea Parties, Big Societies and small government

by Eoin Carolan

Presented at the Harvard-Stanford Junior International Faculty Forum in November 2011.

This paper considers whether there are lessons for advocates of the Tea Party or Big Society from the governance... more This paper considers whether there are lessons for advocates of the Tea Party or Big Society from the governance failures that occurred in recent years in Ireland and Iceland.

Both of these movements call for more proximate or locally-situated decision-making as a way of making government better or more responsive. Yet two of the countries which suffered the most spectacular economic collapses in recent years have unusually proximate systems of government. This paper considers whether this suggest that locally-situated or proximate systems of government may be prone to particular forms of policy dysfunction.


This paper is currently being revised so comments or suggestions are welcome.

The Boundaries of Democracy and the Case of Non-Humans

by Anne Marie Matarrese

The Democratic Representation of Non-Human Animals

by Anne Marie Matarrese

Hochschild homology and truncated cycles

by Dag Oskar Madsen

Co-authored with Petter Andreas Berg and Yang Han
Published in: Proceedings of the American Mathematical Society 140 (2012), 1133-1139
DOI: 10.1090/S0002-9939-2011-10942-0

We study algebras having 2-truncated cycles, and show that these algebras have infinitely many nonzero Hochschild... more We study algebras having 2-truncated cycles, and show that these algebras have infinitely many nonzero Hochschild homology groups. Consequently, algebras of finite global dimension have no 2-truncated cycles, and therefore satisfy a higher version of the ``no loops conjecture".

Projective dimensions and almost split sequences

by Dag Oskar Madsen

Published in: Journal of Algebra 271 (2004), no. 2, 652--672
DOI: 10.1016/j.jalgebra.2003.09.015
Math Reviews: MR2025545

Let Λ be an Artin algebra and let 0→A→B→C→0 be an almost split sequence. In this paper we discuss under which... more Let Λ be an Artin algebra and let 0→A→B→C→0 be an almost split sequence. In this paper we discuss under which conditions the inequality pdB⩽max{pdA,pdC} is strict.