Results 81 to 90 of about 52,965 (200)

When Hopf algebras are Frobenius algebras

Journal of Algebra, 1971
AbstractR. Larson and M. Sweedler recently proved that for free finitely generated Hopf algebras H over a principal ideal domain R the following are equivalent: (a) H has an antipode and (b) H has a nonsingular left integral. In this paper I give a generalization of this result which needs only a minor restriction, which, for example, always holds if ...
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Open Frobenius Cluster-Tilted Algebras

Algebra Colloquium, 2022
In this paper, we compute the Frobenius dimension of any cluster-tilted algebra of finite type. Moreover, we give conditions on the bound quiver of a cluster-tilted algebra [Formula: see text] such that [Formula: see text] has non-trivial open Frobenius structures.
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Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley   +1 more source

Sraffa and Leontief Revisited: Mathematical Methods and Models of a Circular Economy

Кібернетика та комп'ютерні технології, 2020
Introduction. Sometimes new results in one scientific field can help to study quite other branches. In the new book we observe application of various mathematical methods to study circular economics. The purpose of the paper is to give information about
J.-F. Emmenegger, D. Chable, H.A. Nour Eldin, H. Knolle   +3 more
doaj   +1 more source

Boundaries, Defects and Frobenius Algebras [PDF]

Annales Henri Poincaré, 2003
AbstractThe interpretation of D‐branes in terms of open strings has lead to much interest in boundary conditions of two‐dimensional conformal field theories (CFTs). These studies have deepened our understanding of CFT and allowed us to develop new computational tools.
Fuchs, J, Runkel, I, Schweigert, C
openaire   +3 more sources

C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +1 more source

Accurate Computations with Block Checkerboard Pattern Matrices

Mathematics
In this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some ...
Jorge Delgado, Héctor Orera, J. M. Peña   +2 more
doaj   +1 more source

Picard group of dual categories [PDF]

Categories and General Algebraic Structures with Applications
We provide an explicit description of the Picard group (the group of isomorphism classes of invertible objects, those that have an inverse under the tensor product) of the dual category of the category of comodules over a supergroup algebra, by using the
Adriana Mejía Castaño
doaj   +1 more source

Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley   +1 more source

On fusing matrices associated with conformal boundary conditions

Journal of High Energy Physics
In the context of rational conformal field theories (RCFT) we look at the fusing matrices that arise when a topological defect is attached to a conformal boundary condition. We call such junctions open topological defects.
Anatoly Konechny, Vasileios Vergioglou
doaj   +1 more source