Concept
Simple Lie group
Publications associées (124)
On unipotent supports of reductive groups with a disconnected centre
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 ...
Elsevier2013Personalized neuroprosthetics
José del Rocio Millán Ruiz, Silvestro Micera, Grégoire Courtine, David Allenson Borton
Decades of technological developments have populated the field of neuroprosthetics with myriad replacement strategies, neuromodulation therapies, and rehabilitation procedures to improve the quality of life for individuals with neuromotor disorders. Despit ...
American Association for the Advancement of Science2013Irreducibility In Algebraic Groups And Regular Unipotent Elements
We study (connected) reductive subgroups G of a reductive algebraic group H, where G contains a regular unipotent element of H. The main result states that G cannot lie in a proper parabolic subgroup of H. This result is new even in the classical case H = ...
2013A lattice in more than two Kac–Moody groups is arithmetic
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 ...
2012