Results 21 to 30 of about 105 (96)
On Pointed Ribbon Hopf Algebras
Journal of Algebra, 1996 This paper deals mainly with the families of pointed Hopf algebras constructed by Radford: \(H_{n,q,N,\nu}\), which generalize Sweedler's 4-dimensional noncommutative non-cocommutative Hopf algebra, and \(U_{(N,\nu,\omega)}\), which is a family of finite dimensional pointed unimodular ribbon Hopf algebras, and which generalizes the well known quantum ...
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Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
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Triangular braidings and pointed Hopf algebras
Journal of Pure and Applied Algebra, 2007 20 ...
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Hopf subalgebras of pointed Hopf algebras and applications [PDF]
Proceedings of the American Mathematical Society, 1997 Let \(H\) be a pointed Hopf algebra over an algebraically closed field of characteristic zero. The author's main result is that if \(H\) is not semisimple, then \(H\) contains a group-like element \(g\) and a \((g,1)\)-skew primitive element \(x\), with specific algebraic relations including \(gx=qxg\), \(q\) a primitive root of unity.
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Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation
Natural Resource Modeling, Volume 39, Issue 2, May 2026.ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu +2 more
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Finite-Dimensional Simple-Pointed Hopf Algebras
Journal of Algebra, 1999 Quantized universal enveloping algebras are generated by pairs of elements \(a\) and \(x\), where \(a\neq 0\) is group-like, i.e., \(\Delta a=a\otimes a\), \(x\) is \((1,a)\)-primitive, i.e., \(\Delta x=1\otimes x+x\otimes a\) and \(xa=qax\). They are pointed as coalgebras, i.e., every simple subcoalgebra is one-dimensional, spanned by a group-like ...
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Stabilization of Poincaré duality complexes and homotopy gyrations
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
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Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
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Bialgebra cohomology, pointed Hopf algebras, and deformations
Journal of Pure and Applied Algebra, 2009 We give explicit formulas for maps in a long exact sequence connecting bialgebra cohomology to Hochschild cohomology. We give a sufficient condition for the connecting homomorphism to be surjective. We apply these results to compute all bialgebra two-cocycles of certain Radford biproducts (bosonizations).
Mastnak, Mitja, Witherspoon, Sarah
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Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings
Advanced Materials, Volume 38, Issue 21, 13 April 2026.This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen +12 more
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