Applications of a theorem of Singerman about Fuchsian groups
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Given a principal bundle G hooked right arrow P -> B (each being compact, connected and oriented) and a G-invariant metric h(P) on P which induces a volume form mu(P), we consider the group of all unimodular automorphisms SAut(P, mu(P)) := {phi is an eleme ...
Let A be a d-dimensional smooth algebra over a perfect field of characteristic not 2. Let Um(n+1)(A)/En+1 (A) be the set of unimodular rows of length n + 1 up to elementary transformations. If n >= (d + 2)/2, it carries a natural structure of group as disc ...
We investigate Farley’s CAT(0) cubical model for Thompson’s group F (we adopt the classical language of F, using binary trees and piecewise linear maps, avoiding the one of diagram groups and pictures). Main results include: in general, Thompson’s group el ...
We review the research done in recent years in our group on the effects of nanostructure symmetry, and outline its relevance both for nanostructure physics and for computations of their electronic and optical properties. The exemples of C3v and C2v quantum ...
Let Gamma be an irreducible lattice in a product of n infinite irreducible complete Kac–Moody groups of simply laced type over finite fields. We show that if n>2, then each Kac–Moody groups is in fact a simple algebraic group over a local field and Gamma i ...
To a compact Riemann surface of genus g can be assigned a principally polarized abelian variety (PPAV) of dimension g, the Jacobian of the Riemann surface. The Schottky problem is to discern the Jacobians among the PPAVs. Buser and Sarnak showed that the s ...
The integrated approach for the design of solid catalysts for process intensification is presented addressing simultaneously different levels of scale and complexity involved in the development starting from the molecular/nano-scale of the active phase opt ...
This paper presents a new device for a novel neurorehabilitation strategy for stroke patients suffering from upper limb paralysis. The concept consists in combining illusory movements, induced by tendon vibration on the hand and wrist, with a virtual reali ...
A group of 12 architecture students from EPFL returned from the London Festival of Architecture (19 June-19 July 08), where their contribution, "Overflow", a structure that reacts to tides in the Thames River, was chosen as the best overall project among a ...
One of the most fundamental objects in algebra is the group. There exist plenty of different groups. In the following article we consider some free abelian gorups, cyclic groups, free groups and fundamental groups as well as the products of groups and draw ...