“…Villacampa's classification, [Classification of complex structures on 6-dimensional nilpotent Lie algebras, arXiv:1111.5873v4 [math.DG]]. We investigate the existence of pluriclosed metric in connection with such a classification.…”
Enlace del recurso

“…Moreover, by completing the characterization of the existence of invariant algebraic surfaces and their associated global dynamics, we give a better understanding on the disappearance of the strange attractor and the limit cycles of the studied system.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…In contrast with expectations from tensor network renormalization (TNR), we show that a simple, explicit analytic description of this fixed point using operator-algebraic renormalization (OAR) is possible. Specifically, the fixed point is characterized in terms of spin-spin correlation functions. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The problem is reduced to the solution of a system of linear algebraic equations. Through the numerical example, the procedure is tested and the efficiency of the proposed method is confirmed.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…An ADE Dynkin diagram gives rise to a family of algebraic curves. In this paper, we use arithmetic invariant theory to study the integral points of the curves associated to the exceptional diagrams [Formula: see text] , [Formula: see text] . …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The input parameters can be read off from any unitarity-cut integrand, as assembled from tree-level expressions, after simple algebraic manipulations. The formulas presented here are suitable for analytical as well as numerical evaluation. …”
Enlace del recurso
Enlace del recurso

“…The combination of the superconformal and dual superconformal symmetries gives rise to a Yangian, an algebraic structure which is known to be related to the appearance of integrability in other regimes of the theory. …”
Enlace del recurso
Enlace del recurso

“…Although the statistical literature is replete with techniques for dealing with those random processes characterized by both exponentially decaying (non-scaling) autocorrelations and exponentially decaying probability distributions, there is a real paucity of literature appropriate for geophysical fields exhibiting either scaling over wide ranges (e. g. algebraic autocorrelations) or extreme fluctuations (e. g. algebraic probabilities, divergence of high order statistical moments). …”
Enlace del recurso
Enlace del recurso

“…Topics discussed in the area of circuit simulation include the index classification of differential-algebraic systems, connections with ill-posed problems, and regularization techniques. …”
Enlace del recurso
Enlace del recurso

“…There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. …”
Enlace del recurso

“…One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. …”
Enlace del recurso

“…Abelian sets of roots are closely related to abelian unipotent subgroups of simple algebraic groups, and thus to abelian p-subgroups of finite groups of Lie type over fields of characteristic p. …”
Enlace del recurso

“…A global treatment of duality symmetries is given, by associating them to the known symmetries of affine current algebras (affine-Weyl group and external automorphisms). …”
Enlace del recurso

“…These systems are governed by certain integrable hierarchies, which are generalizations of the usual KdV hierarchy and whose algebraic structure is given in terms of quantum cohomology rings of grassmannians.…”
Enlace del recurso

“…We find that nontrivial thermal conformal field theories arise when the thermal mass satisfies an algebraic transcendental equation that ensures the absence of an infinite set of operators from the spectrum. …”
Enlace del recurso
Enlace del recurso

“…A chapter is dedicated to the numerical solution of algebraic and transcendental equations, the basic mathematical principles are discussed and the available Python tools for the solution are presented. …”
Enlace del recurso
Enlace del recurso

“…We carry out a general analysis of the representations of the superconformal algebras SU(2,2/N), OSp(8/4,R) and OSp(8^*/4) and give their realization in superspace. …”
Enlace del recurso
Enlace del recurso

“…We carry out a general analysis of the representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in terms of harmonic superspace. …”
Enlace del recurso
Enlace del recurso

“…Superconformal algebras embedding space-time in any dimension and signature are considered. …”
Enlace del recurso
Enlace del recurso

“…Starting from this subalgebra of symmetry, we prove some features of the superconformal invariance of the theory. We give a new algebraic proof of the cancellation of the $\beta$ function and we show the ultraviolet finiteness of the 1/2 BPS operators at all orders in perturbation theory. …”
Enlace del recurso
Enlace del recurso