Results 81 to 90 of about 1,726,318 (276)

Weakly Convex Ridge Regularization for 3D Non‐Cartesian MRI Reconstruction

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose While highly accelerated non‐Cartesian acquisition protocols significantly reduce scan time, they often entail long reconstruction delays for 3D data. Deep learning–based reconstruction methods can alleviate this, but typically rely on complex, highly parametrized architectures.
German Shâma Wache   +3 more
wiley   +1 more source

Structure of the Enveloping Algebras

open access: yesActa Polytechnica, 2007
The adjoint representations of several small dimensional Lie algebras  on their universal enveloping algebras  are explicitly decomposed. It is shown that commutants of raising operators are generated as polynomials in several basic elements.
Č. Burdík, O. Navrátil, S. Pošta
doaj  

Automatic adjoint-based inversion schemes for geodynamics: reconstructing the evolution of Earth's mantle in space and time [PDF]

open access: yesGeoscientific Model Development
Reconstructing the thermo-chemical evolution of Earth's mantle and its diverse surface manifestations is a widely recognised grand challenge for the geosciences.
S. Ghelichkhan   +5 more
doaj   +1 more source

Modular class of Lie $\infty$-algebroids and adjoint representation

open access: yes, 2022
We study the modular class of $Q$-manifolds, and in particular of negatively graded Lie $\infty$-algebroid. We show the equivalence of several descriptions of those classes, that it matches the classes introduced by various authors and that the notion is homotopy invariant.
Caseiro, Raquel   +1 more
openaire   +2 more sources

A Physics‐Informed Koopman Operator Framework for Decentralized Discrete‐Time Sequential Control of a Modular Aerial Parcel Delivery Robot

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper presents a Physics‐Informed Koopman Operator (PIKO) framework integrated with a discrete‐time Sequential Action Control (SAC) for real‐time, decentralized control of a modular aerial parcel delivery robot composed of multiple independently actuated propeller modules.
Archit Krishna Kamath   +2 more
wiley   +1 more source

On the depth of the adjoint representations

open access: yes
Let $F$ be a non-archimedean local field of odd residual characteristic $p$. The depth of a smooth representation of ${\rm GL}_n(F)$ is an invariant of Local Langlands Correspondence (LLC). The analogous notion on the Galois side of LLC is known as the slope of a local Galois representation.
Jana, Arindam, Mondal, Amiya
openaire   +2 more sources

Exterior powers of the adjoint representation and the Weyl ring of E8 [PDF]

open access: yesJournal of Algebra, 2020
I derive explicitly all polynomial relations in the character ring of $E_8$ of the form $χ_{\wedge^k \mathfrak{e}_8} - \mathfrak{p}_{k} (χ_{1}, \dots, χ_{8})=0$, where $\wedge^k \mathfrak{e}_8$ is an arbitrary exterior power of the adjoint representation and $χ_{i}$ is the $i^{\rm th}$ fundamental character.
openaire   +4 more sources

A Gauss–Newton Method for ODE Optimal Tracking Control

open access: yesOptimal Control Applications and Methods, EarlyView.
This paper presents a Gauss–Newton method for optimal tracking control of ordinary differential equations (ODEs). The approach formulates the problem as an infinite‐dimensional optimization problem, allowing both control functions and uncertain model parameters to be optimized.
Vicky Holfeld   +2 more
wiley   +1 more source

Novel families of SU(N) AKLT states with arbitrary self-conjugate edge states

open access: yesNuclear Physics B, 2019
Using the Matrix Product State framework, we generalize the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction to one-dimensional spin liquids with global color SU(N) symmetry, finite correlation lengths, and edge states that can belong to any self ...
Samuel Gozel   +3 more
doaj   +1 more source

Adjoint Representations of the Symmetric Group

open access: yes, 2018
We study the restriction to the symmetric group, $\mc{S}_n$ of the adjoint representation of $\mt{GL}_n(\C)$. We determine the irreducible constituents of the space of symmetric as well as the space of skew-symmetric $n\times n$ matrices as $\mc{S}_n$-modules.
Can, Mahir Bilen, Jones, Miles
openaire   +2 more sources

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