Results 41 to 50 of about 277 (149)
On Efficient Iterative Algorithms and Conditioning for the Nonlinear Sylvester Equation
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.Nonlinear Sylvester‐type matrix equations arise in applications such as control theory, observer design, model reduction, and data‐driven systems, where they model higher order interactions in matrix transformations. Unlike the classical Sylvester equation, the presence of nonlinear terms introduces additional analytical challenges and increased ...
Constantino Mahinya +2 more
wiley +1 more source
Dual quaternion representation of points, lines and planes
Discrete and Continuous Models and Applied Computational ScienceBackground. The bulk of the work on dual quaternions is devoted to their application to describe helical motion. Little attention is paid to the representation of points, lines, and planes (primitives) using them. Purpose. It is necessary to consistently
Migran N. Gevorkyan +4 more
doaj +1 more source
Submaximally symmetric almost quaternionic structures [PDF]
, 2017 The symmetry dimension of a geometric structure is the dimension of its symmetry algebra. We investigate symmetries of almost quaternionic structures of quaternionic dimension n. The maximal possible symmetry is realized by the quaternionic projective
Zalabová, Lenka +5 more
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Annalen der Physik, Volume 537, Issue 12, December 2025.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley +1 more source
Torus Action on Quaternionic Projective Plane and Related Spaces [PDF]
Arnold Mathematical Journal, 2020 22 pages, 6 ...
openaire +3 more sources
Cohomotopy sets of (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifolds for small n$n$
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Let M$M$ be a closed orientable (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifold, n⩾2$n\geqslant 2$. In this paper, we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced suspension space ΣM$\Sigma M$ to investigate the (integral) cohomotopy sets π*(M)$\pi ^\ast (M)$ for n=2,3,4$n=2,3,4$, under the assumption ...
Pengcheng Li, Jianzhong Pan, Jie Wu
wiley +1 more source
On quaternionic bisectional curvature [PDF]
In this article we study the concept of quaternionic bisectional curvature introduced by B. Chow and D. Yang for quaternion-Kähler manifolds. We show that non-negative quaternionic bisectional curvature is only realized for the quaternionic projective ...
Macia, Oscar +2 more
core +4 more sources
The geometry and arithmetic of bielliptic Picard curves
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley +1 more source
Stably extendible vector burdles over the quaternionic projective spaces [PDF]
, 1999 We show that, if a quaternionic k-dimensional vector bundle y over the quaternionic projective space HP^n is stably extendible and its non-zero top Pontrjagin class is not zero mod 2, then γ is stably equivalent to the Whitney sum of k quaternionic line ...
Kuwana, Kouji, Imaoka, Mitsunori
core
Quaternionic modular groups [PDF]
, 1999 Matrices whose entries belong to certain rings of algebraic integers are known to be associated with discrete groups of transformations of inversive n-space or hyperbolic (n+1)-space Hn+1.
Weiss, Asia Ivić, Johnson, Norman W.
core +1 more source