Results 61 to 70 of about 31,759 (192)

A P‐adic class formula for Anderson t‐modules

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley   +1 more source

Reducibility of nilpotent commuting varieties [PDF]

, 2013
Let $\N_n$ be the set of nilpotent $n$ by $n$ matrices over an algebraically closed field $k$. For each $r\ge 2$, let $C_r(\N_n)$ be the variety consisting of all pairwise commuting $r$-tuples of nilpotent matrices.
Nham, Robert M. Guralnick, V. Ngo
core  

Transitive reduction of a nilpotent boolean matrix

Discrete Applied Mathematics, 1984
Given an acyclic digraph, a problem which frequently arises in applications consists in removing the maximum number of arcs without affecting reachability. This removal corresponds to a so-called transitive reduction of the adjacency matrix of the given digraph.
openaire   +2 more sources

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source

$D$-Stratification and Hierarchy Graphs of the Space of Order 2 and 3 Matrix Pencils

Universal Journal of Mathematics and Applications, 2019
Small changes in the entries of a matrix pencil may lead to important changes in its Kronecker normal form. Studies about the effect of small perturbations have been made when considering the stratification associated with the strict equivalence between ...
Maria İsabel Garcia-planas, Maria Dolors Magret   +1 more
doaj   +1 more source

Nilpotents Leave No Trace: A Matrix Mystery for Pandemic Times

Journal of Humanistic Mathematics, 2022
Reopening a cold case, inspector Echelon, high-ranking in the Row Operations Center, is searching for a lost linear map, known to be nilpotent. When a partially decomposed matrix is unearthed, he reconstructs its reduced form, finding it singular. But were its roots nilpotent?
openaire   +3 more sources

Failure of stability of a maximal operator bound for perturbed Nevo–Thangavelu means

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let G$G$ be a two‐step nilpotent Lie group, identified via the exponential map with the Lie‐algebra g=g1⊕g2$\mathfrak {g}=\mathfrak {g}_1\oplus \mathfrak {g}_2$, where [g,g]⊂g2$[\mathfrak {g},\mathfrak {g}]\subset \mathfrak {g}_2$. We consider maximal functions associated to spheres in a d$d$‐dimensional linear subspace H$H$, dilated by the ...
Jaehyeon Ryu, Andreas Seeger
wiley   +1 more source

A Heuristic Method for Solving Polynomial Matrix Equations

Axioms
We propose a heuristic method to solve polynomial matrix equations of the type ∑k=1makXk=B, where ak are scalar coefficients and X and B are square matrices of order n.
Juan Luis González-Santander, Fernando Sánchez Lasheras   +1 more
doaj   +1 more source

Singularities of nilpotent orbit closures [PDF]

, 2015
This is an expository article on the singularities of nilpotent orbit closures in simple Lie algebras over the complex numbers. It is slanted towards aspects that are relevant for representation theory, including Maffei's theorem relating Slodowy slices ...
Henderson, Anthony
core   +1 more source

The strong nilpotency index of a matrix [PDF]

Linear and Multilinear Algebra, 2013
14 ...
openaire   +3 more sources