Results 51 to 60 of about 27,512 (159)
The minimal model for the Batalin-Vilkovisky operad
, 2011 The purpose of this paper is to explain and to generalize, in a homotopical way, the result of Barannikov-Kontsevich and Manin which states that the underlying homology groups of some Batalin-Vilkovisky algebras carry a Frobenius manifold structure.
Drummond-Cole, Gabriel C. +1 more
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Classification of Frobenius, two-step solvable Lie poset algebras
, 2020 We show that the isomorphism class of a two-step solvable Lie poset subalgebra of a semisimple Lie algebra is determined by its dimension. We further establish that all such algebras are absolutely rigid.
Coll, Vincent +2 more
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On Frobenius functionals of the Lie algebra M3(ℝ) ⊕ gl3(ℝ)
Journal of Physics: Conference Series, 2021 Abstract In the present paper, we study the Lie algebra written in the semi-direct sum formula of the vector space M3 (ℝ) and the Lie algebra gl3 (ℝ) whose both contain 3×3 real matrices. We denote it by g3 : = M3 (ℝ) ⊕ gl3 (ℝ). The aim of this research is to study the existence of a linear functional such that g3 is the Frobenius Lie ...
null Henti, E Kurniadi, E Carnia
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger +2 more
wiley +1 more source
Definition and Computation of Tensor‐Based Generalized Function Composition
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
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Triangular Poisson structures on Lie groups and symplectic reduction
, 2004 We show that each triangular Poisson Lie group can be decomposed into Poisson submanifolds each of which is a quotient of a symplectic manifold. The Marsden-Weinstein-Meyer symplectic reduction technique is then used to give a complete description of the
Hodges, Timothy J., Yakimov, Milen
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Three‐Way Data Analysis With Explainable Tucker3 Clustering (XT3Clus)
Applied Stochastic Models in Business and Industry, Volume 42, Issue 1, January/February 2026.ABSTRACT In an era of increasingly complex data, three‐way arrays capturing information across units, variables and occasions are ubiquitous in fields from chemometrics to finance. However, extracting meaningful and interpretable patterns from such data remain a significant challenge.
Mariaelena Bottazzi Schenone +3 more
wiley +1 more source
On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket
, 2011 In our recent paper we proved the polynomiality of a Poisson bracket for a class of infinite-dimensional Hamiltonian systems of PDE's associated to semi-simple Frobenius structures.
A. Buryak +10 more
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Nilpotency of Lie Type Algebras with Metacyclic Frobenius Groups of Automorphisms
Siberian Mathematical Journal, 2023 Suppose that a Lie type algebra L over a field K admits a Frobenius group of automorphisms FH with cyclic kernel F of order n and complement H such that the fixed-point subalgebra of F is trivial and the fixed-point subalgebra of H is nilpotent of class c.
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SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley +1 more source