Concept

Semisimple module

Related publications (41)

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Stabilizing bisets

Jacques Thévenaz, Serge Bouc

Let G be a finite group and let R be a commutative ring. We analyse the (G,G)-bisets which stabilize an indecomposable RG-module. We prove that the minimal ones are unique up to equivalence. This result has the same flavor as the uniqueness of vertices and ...

2012

Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture

Yuming Liu

Let A and B be two finite dimensional algebras over an algebraically closed field, related to each other by a stable equivalence of Morita type. We prove that A and B have the same number of isomorphism classes of simple modules if and only if their 0-degr ...

Springer-Verlag2012

Deployment analysis of a pentagonal tensegrity-ring module

Ian Smith, Landolf-Giosef-Anastasios Rhode-Barbarigos, Nizar Bel Hadj Ali, Costanza Schulin, René Motro

Ring modules are tensegrity systems that include a single strut circuit and recently, they have been shown to be viable systems for pedestrian bridges. Furthermore, their shape can be controlled using cable actuation. This paper focuses on the deployment o ...

2011

Deployment aspects of a tensegrity-ring pedestrian bridge

Ian Smith, Landolf-Giosef-Anastasios Rhode-Barbarigos, Nizar Bel Hadj Ali, René Motro

Tensegrity structures are spatial systems that are composed of tension and compression components in a self-equilibrated prestress stable state. Although tensegrity systems were first introduced in 1950s, few examples have been used for civil engineering p ...

2011

Linear Algebraic Groups and Finite Groups of Lie Type

Donna Testerman, Gunter Malle

Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisim ...

Cambridge University Press2011

Geometrical description and structural analysis of a modular timber structure

Yves Weinand, Seyed Sina Nabaei, Olivier Baverel

The ambitious goal of the ongoing research at IBOIS, the Laboratory of timber constructions at the Ecole Polytechnique Fédérale de Lausanne (EPFL) is to develop a next generation of timber constructions made out of innovative timber-derived products, throu ...

2011

Geometrical description and Structural analysis of a Modular Timber Structure

Yves Weinand, Seyed Sina Nabaei

2011

Tensor Products of Weil Modules

Alex Monnard

The aim of this work is to understand the decomposition, in irreducible modules, of tensor products of Weil modules for Sp2n(3). To do this, we begin by computing the Weil modules for Sp4(3), Sp6(3) and Sp8(3) in order to understand how tensor products dec ...

2010

Diagonal Quartic Surfaces And Transcendental Elements Of The Brauer Group

Evis Ieronymou

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

Nilpotent subalgebras of semisimple Lie algebras

Donna Testerman

Let g be the Lie algebra of a semisimple linear algebraic group. Under mild conditions on the characteristic of the underlying field, one can show that any subalgebra of g consisting of nilpotent elements is contained in some Borel subalgebra. In this Note ...

2009