Results 21 to 30 of about 133 (132)
Holomorphic deformation of Hopf algebras and applications to quantum groups [PDF]
Journal of Geometry and Physics, 1998 In this article we propose a new and so-called holomorphic deformation scheme for locally convex algebras and Hopf algebras. Essentially we regard converging power series expansion of a deformed product on a locally convex algebra, thus giving the means to actually insert complex values for the deformation parameter. Moreover we establish a topological
Pflaum, Markus J., Schottenloher, Martin
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A note on the bijectivity of the antipode of a Hopf algebra and its applications
Proceedings of the American Mathematical Society, 2018 Certain sufficient homological and ring-theoretical conditions are given for a Hopf algebra to have a bijective antipode with applications to noetherian Hopf algebras regarding their homological behaviors.
Lü, Jiafeng +3 more
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Three natural subgroups of the Brauer-Picard group of a Hopf algebra with applications [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2017 30 ...
Lentner, Simon, Priel, Jan
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Integrals for (dual) quasi-Hopf algebras. Applications
Journal of Algebra, 2003 A classical result in the theory of Hopf algebras concerns the uniqueness and existence of integrals: for an arbitrary Hopf algebra, the integral space has dimension $\leq 1$, and for a finite dimensional Hopf algebra, this dimension is exaclty one. We generalize these results to quasi-Hopf algebras and dual quasi-Hopf algebras.
Bulacu, Daniel, Caenepeel, Stefaan
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Generalized Diagonal Crossed Products and Smash Products for Quasi-Hopf Algebras. Applications [PDF]
Communications in Mathematical Physics, 2006 41 pages, no ...
Bulacu, Daniel +2 more
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Conditions for a Module to be Injective and some Applications to Hopf Algebra Duality [PDF]
Proceedings of the American Mathematical Society, 1995 We present some simple conditions for a module to be injective in certain situations. Injective modules over bialgebras often have the additional structure of module algebras, and our results can be used to give some explicit examples. In particular, we construct such a module algebra for the quantum group
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Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract In this article, we investigate the existence and multiplicity of solutions to the Robin problem −Δu=λf(u)inΩ,∂u∂ν+γu=0on∂Ω,$$\begin{equation*} {\begin{cases} -\Delta u = \lambda f(u) & \text{in } \Omega,\\ \frac{\partial u}{\partial \nu } + \gamma u=0 & \text{on } \partial \Omega, \end{cases}} \end{equation*}$$where Ω⊂RN$\Omega \subset ...
José Carmona Tapia +2 more
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Weak Hopf algebras, smash products and applications to adjoint-stable algebras
Journal of Algebra and Its ApplicationsFor a semisimple quasi-triangular Hopf algebra [Formula: see text] over a field [Formula: see text] of characteristic zero, and a strongly separable quantum commutative [Formula: see text]-module algebra [Formula: see text], we show that [Formula: see text] is a weak Hopf algebra, and it can be embedded into a weak Hopf algebra [Formula: see text ...
Zhimin Liu, Shenglin Zhu
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Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
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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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