Publications associées à Groupe compact

On compact representations of Voronoi cells of lattices

Matthias Schymura, Christoph Hunkenschröder

In a seminal work, Micciancio & Voulgaris (2010) described a deterministic single-exponential time algorithm for the Closest Vector Problem (CVP) on lattices. It is based on the computation of the Voronoi cell of the given lattice and thus may need exponen ...

SPRINGER INTERNATIONAL PUBLISHING AG2018

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Mikko Tapani Korhonen

Let

G

be a simple linear algebraic group over an algebraically closed field

K

of characteristic

p \geq 0

. In this thesis, we investigate closed connected reductive subgroups

X < G

that contain a given distinguished unipotent element

u

of

G

. Our ...

EPFL2018

Dissipative Kerr solitons in photonic chip-based microresonators

Tobias Kippenberg, Junqiu Liu, Maxim Karpov, Hairun Guo, Martin Hubert Peter Pfeiffer, Erwan Guillaume Albert Lucas, Wenle Weng, Arslan Sajid Raja, Miles Henry Anderson, Anton Lukashchuk, John David Jost

Since their discovery microresonator-based frequency combs have drawn a lot of interest due to their compact form factor and potential for integration. We report on the recent progress regarding dissipative Kerr solitons generated from photonic chip-based ...

IEEE2018

A Compact Modular Soft Surface With Reconfigurable Shape and Stiffness

Jamie Paik, Matthew Aaron Robertson, Wyatt Marshall Felt, Masato Murakami

A variety of reconfigurable surface devices, utilizing large numbers of actuated physical pixels to produce discretized 3D contours, have been developed for different purposes in research and industry. The difficulty of integrating many actuators in close ...

2018

Complex magnetic incommensurability and electronic charge transfer through the ferroelectric transition in multiferroic Co3TeO6

Helmuth Berger, Yang Zhao

Polarized and unpolarized neutron diffractions have been carried out to investigate the nature of the magnetic structures and transitions in monoclinic Co3TeO6. As the temperature is lowered below 26 K long range order develops, which is fully incommensura ...

Springer Nature2017

Fixed Points For Bounded Orbits In Hilbert Spaces

Nicolas Monod, Maxime Gheysens

Consider the following property of a topological group G: every continuous affine G-action on a Hilbert space with a bounded orbit has a fixed point. We prove that this property characterizes amenability for locally compact a-compact groups (e.g., countabl ...

Elsevier2017

Restriction of irreducible modules for Spin2+1(K) to Spin2(K)

Mikaël Cavallin

Let K be an algebraically closed field of characteristic

p\geq0

and let

Y=SPin_{2n+1}(K) (n\geq3)

be a simply connected simple algebraic group of type

B_n

over

K

. Also let

X

be the subgroup of type

D_n

, embedded in

Y

in the usual way, as the ...

2017

SETS OF p-UNIQUENESS ON NONCOMMUTATIVE LOCALLY COMPACT GROUPS

Antoine Derighetti

We prove that a closed subgroup H of a locally compact group G is a set of p-uniqueness (1 < p < infinity) if and only if H is locally negligible. We also obtain the inverse projection theorem for sets of p-uniqueness. ...

Ars Polona-Ruch2017

Toda frames, harmonic maps and extended Dynkin diagrams

Katharine Felicity Turner

We consider a natural subclass of harmonic maps from a surface into G/T, namely cyclic primitive maps. Here G is any simple real Lie group (not necessarily compact), T is a Cartan subgroup and both are chosen so that there is a Coxeter automorphism on G(C) ...

Elsevier2017

An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras

Mikaël Cavallin

Let be a finite-dimensional semisimple Lie algebra over having rank l and let V be an irreducible finite-dimensional -module having highest weight λ. Computations of weight multiplicities in V, usually based on Freudenthal's formula, are in general difficu ...

2017

Groupe compact

Graph Chatbot

Chattez avec Graph Search

On compact representations of Voronoi cells of lattices

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Dissipative Kerr solitons in photonic chip-based microresonators

A Compact Modular Soft Surface With Reconfigurable Shape and Stiffness

Complex magnetic incommensurability and electronic charge transfer through the ferroelectric transition in multiferroic Co3TeO6

Fixed Points For Bounded Orbits In Hilbert Spaces

Restriction of irreducible modules for Spin2+1(K) to Spin2(K)

SETS OF p-UNIQUENESS ON NONCOMMUTATIVE LOCALLY COMPACT GROUPS

Toda frames, harmonic maps and extended Dynkin diagrams

An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras

SETS OF p-UNIQUENESS ON NONCOMMUTATIVE LOCALLY COMPACT GROUPS

On compact representations of Voronoi cells of lattices

Toda frames, harmonic maps and extended Dynkin diagrams

Dissipative Kerr solitons in photonic chip-based microresonators

Restriction of irreducible modules for Spin2+1(K) to Spin2(K)

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

A Compact Modular Soft Surface With Reconfigurable Shape and Stiffness

Complex magnetic incommensurability and electronic charge transfer through the ferroelectric transition in multiferroic Co3TeO6

Fixed Points For Bounded Orbits In Hilbert Spaces

An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras