Results 91 to 100 of about 680,985 (272)

The Larson–Sweedler theorem for weak multiplier Hopf algebras [PDF]

, 2014
The Larson–Sweedler theorem says that a finite-dimensional bialgebra with a faithful integral is a Hopf algebra [15]. The result has been generalized to finite-dimensional weak Hopf algebras by Vecsernyés [44].
B. Kahng, A. Van Daele
semanticscholar   +1 more source

Kuramoto Model on Sierpinski Gasket I: Harmonic Maps

Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.
ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
wiley   +1 more source

Hopf–Sikorski algebras

Demonstratio Mathematica, 2011
Abstract The dual category with respect to the category of differential groups is defined and investigated. The objects of this category are algebras, called Hopf–Sikorski (H-S) algebras, the axioms of which combine the axioms of Sikorski’s algebras with modified axiomas of Hopf algebras.
Heller, Michał, Odrzygóźdź, Zdzisław, Pysiak, Leszek, Sasin, Wiesław   +3 more
openaire   +1 more source

Star-products for Lie-algebraic noncommutative Minkowski space-times

Journal of High Energy Physics
Poisson structures of the Poincaré group can be linked to deformations of the Minkowski space-time, classified some time ago by Zakrewski. Based on this classification, various quantum Minkowski space-times with coordinates Lie algebras and specific ...
Valentine Maris, Filip Požar, Jean-Christophe Wallet   +2 more
doaj   +1 more source

Supercharacters, symmetric functions in noncommuting variables (extended abstract) [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and the ring of symmetric functions in noncommuting variables.
Marcelo Aguiar, Carlos André, Carolina Benedetti, Nantel Bergeron, Zhi Chen, Persi Diaconis, Anders Hendrickson, Samuel Hsiao, I. Martin Isaacs, Andrea Jedwab, Kenneth Johnson, Gizem Karaali, Aaron Lauve, Tung Le, Stephen Lewis, Huilan Li, Kay Magaard, Eric Marberg, Jean-Christophe Novelli, Amy Pang, Franco Saliola, Lenny Tevlin, Jean-Yves Thibon, Nathaniel Thiem, Vidya Venkateswaran, C. Ryan Vinroot, Ning Yan, Mike Zabrocki   +27 more
doaj   +1 more source

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source

Bialgebra cohomology and exact sequences

Comptes Rendus. Mathématique
We show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application, we provide a short proof of the computation of the bialgebra cohomology of
Bichon, Julien
doaj   +1 more source

Deformations of spacetime and internal symmetries

EPJ Web of Conferences, 2017
Algebraic deformations provide a systematic approach to generalizing the symmetries of a physical theory through the introduction of new fundamental constants.
Gresnigt Niels G., Gillard Adam B.
doaj   +1 more source

Dual Constructions for Partial Actions of Hopf Algebras [PDF]

, 2014
The duality between partial actions (partial $H$-module algebras) and co-actions (partial $H$-comodule algebras) of a Hopf algebra $H$ is fully explored in this work.
E. Batista, J. Vercruysse
semanticscholar   +1 more source

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
wiley   +1 more source