Concept

Modular representation theory

Publications associées (48)

Representations of Super Yang-Mills Algebras

We study in this article the representation theory of a family of super algebras, called the super Yang-Mills algebras, by exploiting the Kirillov orbit method à la Dixmier for nilpotent super Lie algebras. These super algebras are an extension of the so-c ...

2013

On unipotent supports of reductive groups with a disconnected centre

Jonathan Marc Taylor

Let G be a simple algebraic group defined over a finite field of good characteristic, with associated Frobenius endomorphism F. In this article we extend an observation of Lusztig (which gives a numerical relationship between an ordinary character of GF an ...

Elsevier2013

On the size of Satake parameters for unitary cuspidal automorphic representations for GL(4)

Nahid Walji

Let Pi be a cuspidal automorphic representation for GL(4) over a number field F. We obtain unconditional lower bounds on the number of places at which the Satake parameters are not "too large". In the case of self-dual Pi with non-trivial central character ...

Academic Press Inc Elsevier Science2013

Design and operations of gas transmission networks

Frédéric Louis François Babonneau

Problems dealing with the design and the operations of gas transmission networks are challenging. The difficulty mainly arises from the simultaneous modeling of gas transmission laws and of the investment costs. The combination of the two yields a non-line ...

2013

Relative Projectivity and Relative Endotrivial Modules

Caroline Lassueur

This dissertation is concerned with modular representation theory of finite groups, and more precisely, with the study of classes of representations, which we shall term relative endotrivial modules. Given a prime number p, a finite group G of order divisi ...

EPFL2012

Generalized tensor idempotents and the telescope conjecture

Giordano Favi

We transpose Rickard's construction of idempotent representations to the general context of tensor triangulated categories. We connect our construction to the telescope conjecture and prove that the latter is of local nature. As an illustration, we extend ...

2011

On the Brauer group of diagonal quartic surfaces

Evis Ieronymou

We obtain an easy sufficient condition for the Brauer group of a diagonal quartic surface D over Q to be algebraic. We also give an upper bound for the order of the quotient of the Brauer group of D by the image of the Brauer group of Q. The proof is based ...

2011

Classifying tame blocks and related algebras up to stable equivalences of Morita type

We contribute to the classification of finite dimensional algebras under stable equivalence of Morita type. More precisely we give a classification of Erdmann's algebras of dihedral, semi-dihedral and quaternion type and obtain as byproduct the validity of ...

Elsevier2011

It was easy, when apples and blackberries were only fruits

Karl Aberer, Zoltán Miklós, Surender Reddy Yerva

Ambiguities in company names are omnipresent. This is not accidental, companies deliberately chose ambiguous brand names, as part of their marketing and branding strategy. This procedure leads to new challenges, when it comes to finding information about t ...

WePS-3, colocated with CLEF2010

We exhibit central simple algebras over the function field of a diagonal quartic surface over the complex numbers that represent the 2-torsion part of its Brauer group. We investigate whether the 2-primary part of the Brauer group of a diagonal quartic sur ...

Cambridge University Press2010

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