Results 1 to 10 of about 150,165 (106)

A generalization of CHSH and the algebraic structure of optimal strategies [PDF]

open access: yesQuantum, 2020
$\textit{Self-testing}$ has been a rich area of study in quantum information theory. It allows an experimenter to interact classically with a black box quantum system and to test that a specific entangled state was present and a specific set of ...
David Cui   +3 more
doaj   +1 more source

STABILITY PATTERNS IN REPRESENTATION THEORY

open access: yesForum of Mathematics, Sigma, 2015
We develop a comprehensive theory of the stable representation categories of several sequences of groups, including the classical and symmetric groups, and their relation to the unstable categories.
STEVEN V SAM, ANDREW SNOWDEN
doaj   +1 more source

Dimensional analysis using toric ideals: primitive invariants.

open access: yesPLoS ONE, 2014
Classical dimensional analysis in its original form starts by expressing the units for derived quantities, such as force, in terms of power products of basic units [Formula: see text] etc.
Mark A Atherton   +2 more
doaj   +1 more source

Irreducible subgroups of simple algebraic groups - a survey [PDF]

open access: yes, 2018
Let $G$ be a simple linear algebraic group over an algebraically closed field $K$ of characteristic $p \geqslant 0$, let $H$ be a proper closed subgroup of $G$ and let $V$ be a nontrivial finite dimensional irreducible rational $KG$-module. We say that $(
Burness   +10 more
core   +3 more sources

Relative Property (T) and Linear Groups [PDF]

open access: yes, 2005
Relative property (T) has recently been used to construct a variety of new rigidity phenomena, for example in von Neumann algebras and the study of orbit-equivalence relations.
Fernos, Talia
core   +3 more sources

Automorphism groups of polycyclic-by-finite groups and arithmetic groups [PDF]

open access: yes, 2005
We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic
A. Borel   +40 more
core   +2 more sources

From groups to clusters [PDF]

open access: yes, 2017
Let G be a semisimple complex Lie group. In this article, we study Geometric Invariant Theory on a flag variety G/B with respect to the action of a principal 3-dimensional simple subgroup S of G. We determine explicitly the GIT-equivalence classes of S-ample line bundles on G/B.
Karl-Hermann Neeb   +4 more
openaire   +20 more sources

On Fields of rationality for automorphic representations [PDF]

open access: yes, 2014
This paper proves two results on the field of rationality $\Q(\pi)$ for an automorphic representation $\pi$, which is the subfield of $\C$ fixed under the subgroup of $\Aut(\C)$ stabilizing the isomorphism class of the finite part of $\pi$.
Nicolas Templier, Shin, Sug Woo
core   +3 more sources

Locally Compact Quantum Groups. A von Neumann Algebra Approach [PDF]

open access: yes, 2014
In this paper, we give an alternative approach to the theory of locally compact quantum groups, as developed by Kustermans and Vaes. We develop the theory completely within the von Neumann algebra framework.
Van Daele, Alfons
core   +2 more sources

Extensions of differential representations of SL(2) and tori

open access: yes, 2011
Linear differential algebraic groups (LDAGs) measure differential algebraic dependencies among solutions of linear differential and difference equations with parameters, for which LDAGs are Galois groups.
Alexey Ovchinnikov   +5 more
core   +1 more source

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