Results 41 to 50 of about 19,149 (335)
$L_infty$ rational homotopy of mapping spaces
In this paper we describe explicit $L_\infty$ algebras modeling the rational homotopy type of any component of the spaces $\map(X,Y)$ and $\map^*(X,Y)$ of free and pointed maps between the finite nilpotent CW-complex $X$ and the finite type nilpotent CW ...
Buijs, Urtzi +2 more
core +1 more source
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
wiley +1 more source
Generalised cluster algebras and $q$-characters at roots of unity [PDF]
Shapiro and Chekhov (2011) have introduced the notion of generalised cluster algebra; we focus on an example in type $C_n$. On the other hand, Chari and Pressley (1997), as well as Frenkel and Mukhin (2002), have studied the restricted integral form $U^{\
Anne-Sophie Gleitz
doaj +1 more source
Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang +7 more
wiley +1 more source
On the structure of Leibniz algebras, whose subalgebras are ideals or core-free
An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra), if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]] — [b, [a, c]] for all a, b, c ∈ L. Leibniz algebras are generalizations of Lie algebras.
V.A. Chupordia +2 more
doaj +1 more source
Algebraic structure of path-independent quantum control
Path-independent (PI) quantum control has recently been proposed to integrate quantum error correction and quantum control [W.-L. Ma, M. Zhang, Y. Wong, K. Noh, S. Rosenblum, P. Reinhold, R. J. Schoelkopf, and L. Jiang, Phys. Rev. Lett. 125, 110503 (2020)
Wen-Long Ma, Shu-Shen Li, Liang Jiang
doaj +1 more source
In this paper, we define and study the category of L-algebras, proving that this category has equalizers, coequalizers, kernel pairs and products. We investigate the existence of injective objects in this category and show that an object in the subcategory of cyclic L-algebras is injective if and only if it is a complete and divisible ...
openaire +2 more sources
In this paper, we study Lie 2-bialgebras, with special attention to coboundary ones, with the help of the cohomology theory of $L_\infty$-algebras with coefficients in $L_\infty$-modules.
Bai, Chengming +2 more
core +1 more source
A stress‐normalised sensitivity metric (S = G/Y) is introduced as a materials‐level benchmark for intrinsically piezoresistive nanocomposites. By decoupling electromechanical response (G) from stiffness (Y), the framework enables direct comparison across diverse systems and clarifies design trade‐offs for wearable sensors.
Conor S. Boland
wiley +1 more source
Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian) [PDF]
Let L(m) be one of the finite dimensional modular Lie algebras W_n(m), S_n(m), H_n(m) and let L be one of corresponding p-algebras W_n, S_n, H_n. We prove that there exists a nontrivial map from the algebra S(L)^L of symmetrical invariants into
L. P. Bedratyuk
doaj

