Results 11 to 20 of about 58 (51)
Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings
Proceedings of the London Mathematical Society, Volume 127, Issue 4, Page 1185-1245, October 2023., 2023 Abstract We construct finite‐dimensional Hopf algebras whose coradical is the group algebra of a central extension of an abelian group. They fall into families associated to a semisimple Lie algebra together with a Dynkin diagram automorphism. We show conversely that every finite‐dimensional pointed Hopf algebra over a nonabelian group with nonsimple ...
Iván Angiono +2 more
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Cellularity for weighted KLRW algebras of types B$B$, A(2)$A^{(2)}$, D(2)$D^{(2)}$
Journal of the London Mathematical Society, Volume 107, Issue 3, Page 1002-1044, March 2023., 2023 Abstract This paper constructs homogeneous affine sandwich cellular bases of weighted KLRW algebras in types BZ⩾0$B_{\mathbb {Z}_{\geqslant 0}}$, A2·e(2)$A^{(2)}_{2\cdot e}$, De+1(2)$D^{(2)}_{e+1}$. Our construction immediately gives homogeneous sandwich cellular bases for the finite‐dimensional quotients of these algebras. Since weighted KLRW algebras
Andrew Mathas, Daniel Tubbenhauer
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Linear relations with disjoint supports and average sizes of kernels
Journal of the London Mathematical Society, Volume 106, Issue 3, Page 1759-1809, October 2022., 2022 Abstract We study the effects of imposing linear relations within modules of matrices on average sizes of kernels. The relations that we consider can be described combinatorially in terms of partial colourings of grids. The cells of these grids correspond to positions in matrices and each defining relation involves all cells of a given colour. We prove
Angela Carnevale, Tobias Rossmann
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The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
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Lorentzian homogeneous structures with indecomposable holonomy
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
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A Graded Zero‐Divisor Graph Arising From Group‐Graded Modules
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce a graded zero‐divisor graph for group‐graded modules, where the vertices are homogeneous elements and edges connect distinct vertices according to a natural graded relation. We investigate its main properties, such as connectivity and girth, and compare these graphs with their ungraded counterparts.
Fida Moh’d +4 more
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A Spatiotemporal Pathformer‐Based Deep Learning Framework for Watershed Flood Forecasting
Water Resources Research, Volume 61, Issue 12, December 2025.Abstract Effective flood forecasting is essential for implementing proactive flood management and risk reduction strategies. However, conventional artificial neural networks often fail to capture the complex spatiotemporal dependencies among hydrometeorological variables, resulting in system biases and time‐lag errors, especially during extreme flood ...
Tianyu Xia +5 more
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Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi +3 more
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A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
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The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
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