Results 31 to 40 of about 5,484 (263)

Covering Algebras I. Extended Affine Lie Algebras

open access: yesJournal of Algebra, 2002
Covering Algebras of extended affine Lie algebras(EALA's) relative to finite order automorphisms are studied. Conditions are given for when the resulting algebra is again an EALA. This paper deals with affinizations of EALA's relative to finite order automorphisms and these algebras are generalizations of the affine Kac-Moody Lie algebras.
Allison, Bruce   +2 more
openaire   +2 more sources

Lie algebras and coverings

open access: yesCommentarii Mathematici Helvetici, 1994
Let \(\Lambda\) be an associative unitary finite-dimensional \(\mathbb{C}\)-algebra which is representation finite. This means that the number of isomorphism classes of indecomposable finite-dimensional \(\Lambda\)-left modules is finite. Let us fix a set \(\mathcal F\) of representatives for these isomorphism classes. We showed [\textit{C. Riedtmann},
openaire   +2 more sources

Vector fields on nonorientable surfaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
A one-to-one correspondence is established between the germs of functions and tangent vectors on a NOS X and the bi-germs of functions, respectively, elementary fields of tangent vectors (EFTV) on the orientable double cover of X.
Ilie Barza, Dorin Ghisa
doaj   +1 more source

The Application of Affine/Interval Algebra to Determine the Time of Concrete Cover Damage in Reinforced Concrete Due to Corrosion

open access: yesComputer Assisted Methods in Engineering and Science, 2020
This paper presents the application of affine numbers to determine the time of concrete cover cracking in reinforced concrete elements from the initiation of the reinforcement corrosion. This issue is crucial for evaluating sustainability and durability
Tomasz Krykowski
doaj   +1 more source

Coverings of laura algebras: The standard case

open access: yesJournal of Algebra, 2010
The main result on the non-standard case was reformulated due to an inaccuracy in the previous version. Lemma 6.1 was removed due to a simplification. The last section on the special biserial case was removed. Typos corrected and bibliography updated.
Assem, Ibrahim   +2 more
openaire   +4 more sources

The Influence of Field‐Assisted Sintering Technology (FAST) Temperature and Cooling Rate on the Microstructural Evolution in Gamma‐Titanium Aluminide Alloy GE4822

open access: yesAdvanced Engineering Materials, EarlyView.
Controlling the Field Assisted Sintering Technology (FAST) parameters, dwell temperature and cooling rate, significantly influences the microstructural evolution in titanium aluminide GE4822. Significant γ‐lamellar colonies develop only upon cooling through the α‐transus.
Jack Krohn, James Pepper, Martin Jackson
wiley   +1 more source

An exceptional cluster algebra for Higgs plus jet production

open access: yesJournal of High Energy Physics
A recent evaluation of three-loop nonplanar Feynman integrals contributing to Higgs plus jet production has established their dependence on two novel symbol letters. We show that the resulting alphabet is described by a G 2 cluster algebra, enlarging the
Rigers Aliaj, Georgios Papathanasiou
doaj   +1 more source

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

open access: yesAdvanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena   +3 more
wiley   +1 more source

On four-point connectivities in the critical 2d Potts model

open access: yesSciPost Physics, 2019
We perform Monte-Carlo computations of four-point cluster connectivities in the critical 2d Potts model, for numbers of states $Q\in (0,4)$ that are not necessarily integer.
Marco Picco, Sylvain Ribault, Raoul Santachiara
doaj   +1 more source

A State‐Adaptive Koopman Control Framework for Real‐Time Deformable Tool Manipulation in Robotic Environmental Swabbing

open access: yesAdvanced Robotics Research, EarlyView.
This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi   +2 more
wiley   +1 more source

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