Results 61 to 70 of about 10,381,547 (314)
Vertex Algebras and Costello-Gwilliam Factorization Algebras [PDF]
arXiv, 2020 Vertex algebras and factorization algebras are two approaches to chiral conformal field theory. Costello and Gwilliam describe how every holomorphic factorization algebra on the plane of complex numbers satisfying certain assumptions gives rise to a Z-graded vertex algebra. They construct some models of chiral conformal theory as factorization algebras.
arxiv
The $ω$-Lie algebra defined by the commutator of an $ω$-left-symmetric algebra is not perfect [PDF]
arXiv, 2022 In this paper, we study admissible $\omega$-left-symmetric algebraic structures on $\omega$-Lie algebras over the complex numbers field $\mathbb C$. Based on the classification of $\omega$-Lie algebras, we prove that any perfect $\omega$-Lie algebra can't be the $\omega$-Lie algebra defined by the commutator of an $\omega$-left-symmetric algebra.
arxiv
Factoring Multivariate Polynomials over Algebraic Number Fields
SIAM journal on computing (Print), 1984 We present an algorithm to factor multivariate polynomials over algebraic number fields that is polynomial-time in the degrees of the polynomial to be factored.
A. Lenstra
semanticscholar +1 more source
Advanced Engineering Materials, EarlyView.In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia +2 more
wiley +1 more source
Normal ordering associated with λ-Stirling numbers inλ-Shift algebra [PDF]
arXiv, 2023 The Stirling numbers of the second kind are related to normal orderings in the Weyl algebra, while the unsigned Stirling numbers of the first kind are related to normal orderings in the shift algebra. Kim-Kim introduced a {\lambda}-analogue of the unsigned Stirling numbers of the first kind and that of the r-Stirling numbers of the first kind.
arxiv
Advanced Engineering Materials, EarlyView.This study models static recrystallization in interstitial free‐steel using coupled crystal plasticity and phase‐field simulations. The method directly links heterogeneous dislocation density to nucleation site prediction, eliminating reliance on empirical assumptions.
Alireza Rezvani +2 more
wiley +1 more source
The derived-discrete algebras over the real numbers [PDF]
arXiv, 2020 We classify derived-discrete algebras over the real numbers up to Morita equivalence, using the classification of complex derived-discrete algebras in [{\sc D. Vossieck}, {\em The algebras with discrete derived category}, J. Algebra {\bf 243} (2001), 168--176].
arxiv
Orbital Topology of Chiral Crystals for Orbitronics
Advanced Materials, EarlyView.Chirality is ubiquitous in nature and constitutional for life. In chiral materials the intrinsic handedness, defined by their crystal structure, becomes a main driver for a novel electronic topology that is based on the orbital angular momentum rather than the electron spin.
Kenta Hagiwara +16 more
wiley +1 more source
A Few Considerations on Structural and Logical Composition in Specification Theories [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 Over the last 20 years a large number of automata-based specification theories have been proposed for modeling of discrete,real-time and probabilistic systems. We have observed a lot of shared algebraic structure between these formalisms.
Axel Legay, Andrzej Wąsowski
doaj +1 more source
Effective approximation to complex algebraic numbers by quadratic numbers [PDF]
Can. Math. Bull. 68 (2025) 262-269We establish an effective improvement on the Liouville inequality for approximation to complex non-real algebraic numbers by quadratic complex algebraic numbers.
arxiv +1 more source