Zobrazeno 1 - 10
of 5 900
pro vyhledávání: '"Neeb A"'
Autor:
Hedicke, Jakob, Neeb, Karl-Hermann
An element $g$ of a Lie group is called stably elliptic if it is contained in the interior of the set $G^e$ of elliptic elements, characterized by the property that $\mathrm{Ad}(g)$ generates a relatively compact subgroup. Stably elliptic elements ap
Externí odkaz:
http://arxiv.org/abs/2410.08083
Phantom systems consisting of liposome suspensions are widely employed to investigate quantitative MRI parameters mimicking cellular membranes. The proper physical understanding of the measurement results, however, requires proper models for liposome
Externí odkaz:
http://arxiv.org/abs/2408.17085
We show that the Fr\'echet--Lie groups of the form $C^{\infty}(M)\rtimes \mathbb{R}$ resulting from smooth flows on compact manifolds $M$ fail to be locally exponential in several cases: when at least one non-periodic orbit is locally closed, or when
Externí odkaz:
http://arxiv.org/abs/2408.15053
We develop a novel perspective on reflection positivity (RP) on the strip by systematically developing the analogies with the unit disc and the upper half plane in the complex plane. These domains correspond to the three conjugacy classes of one-para
Externí odkaz:
http://arxiv.org/abs/2407.21123
Hilbert--Lie groups are Lie groups whose Lie algebra is a real Hilbert space whose scalar product is invariant under the adjoint action. These infinite-dimensional Lie groups are the closest relatives to compact Lie groups. Here we study unitary repr
Externí odkaz:
http://arxiv.org/abs/2402.13619
This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups $G$ acting on a non-compactly causal symmetric space $M = G/H$, every irreducible unitary representation of $G$ can be realized by boundary
Externí odkaz:
http://arxiv.org/abs/2401.17140
Various aspects of the geometric setting of Algebraic Quantum Field Theory (AQFT) models related to representations of the Poincar\'e group can be studied for general Lie groups, whose Lie algebra contains an Euler element, i.e., ad h is diagonalizab
Externí odkaz:
http://arxiv.org/abs/2312.12182
We continue our investigation of the interplay between causal structures on symmetric spaces and geometric aspects of Algebraic Quantum Field Theory. We adopt the perspective that the geometric implementation of the modular group is given by the flow
Externí odkaz:
http://arxiv.org/abs/2307.00798
Autor:
Beltita, Daniel, Neeb, Karl-Hermann
We study holomorphic extensions of one-parameter groups on locally convex spaces with a view to applications to KMS boundary conditions. In the first part we deal with analytic extensions of one-parameter groups of operators on locally convex spaces
Externí odkaz:
http://arxiv.org/abs/2304.09597
Let G be a connected simple linear Lie group and H in G a symmetric subgroup such that the corresponding symmetric space G/H is non-compactly causal. We show that any irreducible unitary representation of G leads naturally to a net of standard subspa
Externí odkaz:
http://arxiv.org/abs/2303.10065