Results 51 to 60 of about 410 (158)
Approximation Relations on the Posets of Pseudoultrametrics
Axioms, 2023 In this paper we study pseudoultrametrics, which are a natural mixture of ultrametrics and pseudometrics. They satisfy a stronger form of the triangle inequality than usual pseudometrics and naturally arise in problems of classification and recognition ...
Svyatoslav Nykorovych +2 more
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Cauchy identities for staircase matrices
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin +2 more
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On categorical aspects of S -quantales
Open Mathematics, 2018 S-quantales are characterized as injective objects in the category of S-posets with respect to certain class of homomorphisms that are order-preserving mappings. This paper is devoted to exhibitions of categorical structures on S-quantales.
Zhang Xia, Zhou Yunyan
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Computing metric hulls in graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 We prove that, given a closure function the smallest preimage of a closed set can be calculated in polynomial time in the number of closed sets. This implies that there is a polynomial time algorithm to compute the convex hull number of a graph, when all
Kolja Knauer, Nicolas Nisse
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Cartwright–Sturmfels Hilbert schemes
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
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Equivariant spaces of matrices of constant corank one
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract We classify all irreducible G$G$‐equivariant subspaces of Hom(V1,V2)$\operatorname{Hom}(V_1,V_2)$ of constant corank one, where G$G$ is a reductive group over an algebraically closed field of characteristic zero and Vi$V_i$ are irreducible representations.
Ada Boralevi +2 more
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Tree metrics and log‐concavity for matroids
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract We show that a set function ν$\nu$ satisfies the gross substitutes property if and only if its homogeneous generating polynomial Zq,ν$Z_{q,\nu }$ is a Lorentzian polynomial for all positive q⩽1$q \leqslant 1$, answering a question of Eur–Huh.
Federico Ardila‐Mantilla +5 more
wiley +1 more source
A characterization of a pomonoid $S$ all of its cyclic $S$-posets are regular injective [PDF]
Categories and General Algebraic Structures with Applications, 2013 This work is devoted to give a charcaterization of a pomonoid $S$ such that all cyclic $S$-posets are regular injective.
Xia Zhang, Wenling Zhang, Ulrich Knauer
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Interpolation categories for conformal embeddings
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract In this paper, we give a diagrammatic description of the categories of modules coming from the conformal embeddings V(slN,N)⊂V(soN2−1,1)$\mathcal{V}({\mathfrak{sl}}_{N},N)\subset \mathcal{V}({\mathfrak{so}}_{{N}^{2}-1},1)$. A small variant of this construction (morally corresponding to a conformal embedding of glN${\mathfrak{gl}}_{N}$ level N ...
Cain Edie‐Michell, Noah Snyder
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
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