Concept

Lie theory

Related publications (25)

Load sensing surgical instruments

Thomas Maeder, Peter Ryser, Caroline Marguerite Jacq

Force and pressure sensing technology applied to smart surgical instruments as well as implants allow to give a direct feedback of loads to the surgeon lead to better reliability and success of surgical operations. A common technology used for sensors is l ...

Springer Verlag2009

Differential geometry applied to crystallography

The mathematical facet of modern crystallography is essentially based on analytical geometry, linear algebra as well as group theory. This study endeavours to approach the geometry and symmetry of crystals using the tools furnished by differential geometry ...

EPFL2009

The symplectic normal space of a cotangent-lifted action

For the cotangent bundle T*Q of a smooth Riemannian manifold acted upon by the lift of a smooth and proper action by isometries of a Lie group, we characterize the symplectic normal space at any point. We show that this space splits as the direct sum of th ...

2008

Symmetry breaking in mechanical systems

The first part of this thesis studies the problem of symmetry breaking in the context of simple mechanical systems with compact symmetry Lie group G. In this part we shall assume that the principal stratum of the G-action on the configuration space Q of a ...

EPFL2005

Cryptography in radio frequency identification and fair exchange protocols

Gildas Avoine

This PhD thesis focuses on fair exchange protocols and radio frequency identification protocols. Fair exchange stems from a daily life problem: how can two people exchange objects (material or immaterial) fairly, that is, without anyone being hurt in the e ...

EPFL2005