Results 81 to 90 of about 22,228 (202)
A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley +1 more source
The Group Involutory Matrix of the Combinations of Two Idempotent Matrices
Journal of Applied Mathematics, 2012 We discuss the following problem: when aP+bQ+cPQ+dQP+ePQP+fQPQ+gPQPQ of idempotent matrices P and Q, where a,b,c,d,e,f,g∈ℂ and a≠0, b≠0, is group involutory.
Lingling Wu, Xiaoji Liu, Yaoming Yu
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The shift‐homological spectrum and parametrising kernels of rank functions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
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Maps on matrix algebras preserving idempotents
Linear Algebra and its Applications, 2003 Let \(M_n({\mathbb C})\) be the algebra of all \(n\times n\) matrices with entries from the field of complex numbers \({\mathbb C}\), \(P_n\) be the set of all idempotents in \(M_n({\mathbb C})\). \textit{P. Šemrl} [ibid. 361, 161-179 (2003; Zbl 1035.15004)], characterized bijective continuous maps \(T : M_n({\mathbb C}) \to M_n({\mathbb C})\), \(n\geq
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Growth problems in diagram categories
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3454-3469, November 2025.Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
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Eigenvector-Free Solutions to the Matrix Equation AXBH=E with Two Special Constraints
Journal of Applied Mathematics, 2013 The matrix equation AXBH=E with SX=XR or PX=sXQ constraint is considered, where S, R are Hermitian idempotent, P, Q are Hermitian involutory, and s=±1.
Yuyang Qiu
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Explicit solutions of the Yang–Baxter-like matrix equation for an idempotent matrix
Applied Mathematics Letters, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeed Ibrahim Adam Mansour +2 more
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Units in group rings and blocks of Klein four or dihedral defect
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3470-3489, November 2025.Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
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A constructive proof of the Wedderburn-Artin theorem
, 2014 In this short note, we use the idempotent decomposition to give an explicit isomorphism from a semisimple Artinian ring to an external direct sum of finite full matrix rings over division ...
Gao, Sheng
core
Stable‐limit partially symmetric Macdonald functions and parabolic flag Hilbert schemes
Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.Abstract The modified Macdonald functions H∼μ$\widetilde{H}_{\mu }$ are fundamental objects in modern algebraic combinatorics. Haiman showed that there is a correspondence between the (C∗)2$(\mathbb {C}^{*})^2$‐fixed points Iμ$I_{\mu }$ of the Hilbert schemes Hilbn(C2)$\mathrm{Hilb}_{n}(\mathbb {C}^2)$ and the functions H∼μ$\widetilde{H}_{\mu ...
Milo Bechtloff Weising, Daniel Orr
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