Results 61 to 70 of about 165,985,528 (155)
Strength and partition rank under limits and field extensions
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract The strength of a multivariate homogeneous polynomial is the minimal number of terms in an expression as a sum of products of lower‐degree homogeneous polynomials. Partition rank is the analogue for multilinear forms. Both ranks can drop under field extensions, and both can jump in a limit.
Arthur Bik +3 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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Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
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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
wiley +1 more source
Multiplicative irreducibility of shifted multiplicative subgroups
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract In a recent breakthrough, Kalmynin resolved conjectures of Lev–Sonn and Sárközy on additive decompositions of multiplicative subgroups of prime fields. In this paper, inspired by a related conjecture of Sárközy, we prove multiplicative analogues of Kalmynin's results. We show that for every proper multiplicative subgroup G$G$, the shifted set (
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
wiley +1 more source
It is argued that if the population of options is a finite poset, diversity comparisons may be conveniently based on widths i.e. on the respective maximum numbers of pairwise incomparable options included in the relevant subposets.
Marcello Basili, Stefano Vannucci
core
Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena +1 more
wiley +1 more source
Partitioning a permutation graph: algorithms and an application. [PDF]
In this paper we discuss the problem of partitioning a permutation graph into cliques of bounded size, and describe a real-life application of this problem encountered at a manufacturing company.
Moonen, Linda, Spieksma, Frederik
core
Factorizations in Hecke algebras I: Long‐cycle factorizations and Jucys–Murphy elements
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Given a permutation, there is a well‐developed literature studying the number of ways one can factor it into a product of other permutations subject to certain conditions. We initiate the analogous theory for the type‐A$A$ Iwahori–Hecke algebra by generalizing the notion of factorization in terms of the Jucys–Murphy elements.
Jose Bastidas +5 more
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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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