Results 41 to 50 of about 105 (96)

Pointed Hopf algebras over some sporadic simple groups [PDF]

Comptes Rendus. Mathématique, 2010
Any finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group, with the possible exception of the Fischer group Fi22, the Baby Monster B and the Monster M, is a group algebra.
Andruskiewitsch, Nicolas, Fantino, Fernando Amado, Graña, Matias Alejo, Vendramin, Claudio Leandro   +3 more
openaire   +3 more sources

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

On pointed Hopf algebras of dimension $p^n$ [PDF]

Proceedings of the American Mathematical Society, 1999
The authors describe nonsemisimple Hopf algebras over an algebraically closed field \(k\) of characteristic zero which have dimension \(p^n\), \(p\) a prime, and which have coradical isomorphic to \(kC\), \(C\) an Abelian group of order \(p^{n-1}\). Two basic types occur, and a Hopf algebra of one type cannot be isomorphic to one of the other type.
Beattie, M., Dăscălescu, S., Grünenfelder, L.   +2 more
openaire   +2 more sources

Siegel–Veech constants for cyclic covers of generic translation surfaces

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino, Aaron Calderon, Carlos Matheus, Nick Salter, Martin Schmoll   +4 more
wiley   +1 more source

Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
In this research work, a ratio‐dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed.
Muhammad Waqas Yasin, Ahmad Shafee, Muhammad Zafarullah Baber, Baboucarr Ceesay, Pramita Mishra   +4 more
wiley   +1 more source

Relative Chaoticity of Natural Languages

Complexity, Volume 2026, Issue 1, 2026.
This paper presents a novel approach to analyzing and grouping natural languages based on the degree of their chaoticity. It clusters 52 languages from 18 language families, according to the value of the entropy–complexity pair, to reveal the chaotic properties of semantic trajectories.
Assel S. Yerbolova, Korney K. Tomashchuk, Alexandra S. Kogan, Nhu Q. Dang, Inna V. Skrynnikova, Vasilii A. Gromov, Tao Zhou   +6 more
wiley   +1 more source

Transient Chaos in a Jerk System: Zero‐Hopf Bifurcation and Fractional Order Dynamics

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Transient chaos is a phenomenon in which chaotic dynamics persists for a finite time before transitioning to periodic or steady‐state behavior. TS has profound implications across disciplines, from neuroscience to quantum physics and machine learning. Recent studies have highlighted its role in crisis‐induced transitions, early‐time entanglement growth
Sarbast Hussein, Surma H. Ibrahim, Nasser Saeed, Ali A. Shukur, Viet-Thanh Pham, Giuseppe Grassi, Sining Zheng   +6 more
wiley   +1 more source

Exploring Stability Landscapes and Complex Dynamics in a Discrete Holling–Tanner Predator–Prey Model via Bifurcation Theory and Machine Learning

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Discretization of continuous models can do more than approximate their dynamics; it can fundamentally transform their dynamical behavior, such as the complex dynamical behavior that translates the system to a chaotic state. In this study we investigated the discrete‐time Holling–Tanner predator–prey model.
Muhammad Rafaqat, Magda Abd El-Rehman, Abubakar Masha, Tayyaba Mehmood, Anila Bibi, Feyisa Edosa Merga, Smritijit Sen   +6 more
wiley   +1 more source

Continuation‐Enhanced Harmonic Balance Method for Nonlinear Dynamics in Rotating Machinery

Shock and Vibration, Volume 2026, Issue 1, 2026.
Nonlinear response conception in rotating machinery, particularly in systems with squeeze film dampers (SFDs), pose significant challenges for established time‐domain numerical methods due to bifurcations and critical points along the response trajectories.
Muhammad Umar, Charles Nutakor, Jussi Sopanen, Yan Niu   +3 more
wiley   +1 more source

Polynomial identities of algebras with actions of pointed Hopf algebras

Journal of Algebra, 2004
Let \(H\) be a Hopf algebra over a field \(k\), let \(A\) be a \(k\)-algebra, and assume that \(A\) is an \(H\)-module algebra. The paper is devote to the following general problem: if \(H\) is finite dimensional and the subalgebra of invariants \(A^H\) satisfies a polynomial identity (PI), must \(A\) also satisfy a PI?
Grzeszczuk, Piotr, Hryniewicka, Małgorzata   +1 more
openaire   +1 more source