Results 21 to 30 of about 648,267 (220)
On cogrowth function of algebras and its logarithmical gap
Comptes Rendus. Mathématique, 2021 Let $A \cong k\langle X \rangle / I$ be an associative algebra. A finite word over alphabet $X$ is $I$-reducible if its image in $A$ is a $k$-linear combination of length-lexicographically lesser words.
Kanel-Belov, Alexei Ya. +2 more
doaj +1 more source
Reduced density matrices of Richardson-Gaudin states in the Gaudin algebra basis. [PDF]
Journal of Chemical Physics, 2020 Eigenvectors of the reduced Bardeen-Cooper-Schrieffer Hamiltonian have recently been employed as a variational wavefunction ansatz in quantum chemistry. This wavefunction is a mean-field of pairs of electrons (geminals).
Charles-Émile Fecteau +3 more
semanticscholar +1 more source
Generalized quantum phase spaces for the κ-deformed extended Snyder model
Physics Letters B, 2023 We describe, in an algebraic way, the κ-deformed extended Snyder models, that depend on three parameters β,κ and λ, which in a suitable algebra basis are described by the de Sitter algebras o(1,N).
Jerzy Lukierski +3 more
doaj +1 more source
Feynman integral reduction using Gröbner bases
Journal of High Energy Physics, 2023 We investigate the reduction of Feynman integrals to master integrals using Gröbner bases in a rational double-shift algebra Y in which the integration-by-parts (IBP) relations form a left ideal.
Mohamed Barakat +4 more
doaj +1 more source
Homogeneous approximation for minimal realizations of series of iterated integrals
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 In the paper, realizable series of iterated integrals with scalar coefficients are considered and an algebraic approach to the homogeneous approximation problem for nonlinear control systems with output is developed.
D. M. Andreieva, S. Yu. Ignatovich
doaj +1 more source
Computing syzygies in finite dimension using fast linear algebra [PDF]
Journal of Complexity, 2019 We consider the computation of syzygies of multivariate polynomials in a finite-dimensional setting: for a $\mathbb{K}[X_1,\dots,X_r]$-module $\mathcal{M}$ of finite dimension $D$ as a $\mathbb{K}$-vector space, and given elements $f_1,\dots,f_m$ in ...
Vincent Neiger, É. Schost
semanticscholar +1 more source
Dual canonical bases for the quantum special linear group and invariant subalgebras [PDF]
, 2005 A string basis is constructed for each subalgebra of invariants of the function algebra on the quantum special linear group. By analyzing the string basis for a particular subalgebra of invariants, we obtain a ``canonical basis'' for every finite ...
Zhang, Hechun, Zhang, R. B.
core +2 more sources
The linear algebra of pairwise comparisons
International Journal of Approximate Reasoning, 2020 In this paper, we start from the premise that pairwise comparisons between alternatives can be modeled by means of the additive representation of preferences.
M. Fedrizzi, M. Brunelli, A. Caprila
semanticscholar +1 more source
Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
core +3 more sources
Code algebras, axial algebras and VOAs [PDF]
, 2018 Inspired by code vertex operator algebras (VOAs) and their representation theory, we define code algebras, a new class of commutative non-associative algebras constructed from binary linear codes. Let $C$ be a binary linear code of length $n$.
Castillo-Ramirez, Alonso +2 more
core +3 more sources