Results 61 to 70 of about 1,061 (223)
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
A Jordan canonical form for nilpotent elements in an arbitrary ring. [PDF]
, 2019 https://v2.sherpa.ac.uk/id/publication/16712In this paper we give an inductive new proof of the Jordan canonical form of a nilpotent element in an arbitrary ring. If is a nilpotent element of index n with von Neumann regular , we decompose with
Gómez-Lozano, Miguel Ángel +3 more
core +1 more source
On nilpotent elements of skew polynomial rings
Journal of Mathematical Extension, 2012 Summary: We study the structure of the set of nilpotent elements in skew polynomial ring \(R[x;\alpha]\), when \(R\) is an \(\alpha\)-Armendariz ring. We prove that if \(R\) is a nil \(\alpha\)-Armendariz ring and \(\alpha^t=I_R\), then the set of nilpotent elements of \(R\) is an \(\alpha\)-compatible subring of \(R\).
J. Esmaeili, E. Hashemi
openaire +3 more sources
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Borel subgroups adapted to nilpotent elements of standard Levi type [PDF]
, 2014 International audienceLet a reductive algebraic group over an algebraically closed field of good characteristic be given. Attached to a nilpotent element of its Lie algebra, we consider a family of algebraic varieties, which incorporates classical ...
Fresse, Lucas
core +1 more source
The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source
Reduced and irreducible simple algebraic extensions of commutative rings [PDF]
Mathematica Moravica, 2017 Let A be a commutative ring with identity and be an algebraic element over A. We give necessary and sufficient conditions under which the simple algebraic extension A[α] is without nilpotent or without idempotent elements.
Mihovski S.V.
doaj
Nilpotent Elements in Lie Algebras
Journal of Algebra, 1990 A classical result of \textit{Fine} and \textit{Herstein} is that the number of n by n nilpotent matrices with entries in GF(q) is a power of q, that power being \(n^ 2-n\). Kaplansky formulates an analogous problem in Lie algebras as follows: For a simple Lie algebra L of n by n matrices with entries from a field of q elements, is the number of ...
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A birational description of the minimal exponent
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source
Regular Nilpotent Elements and Quantum Groups [PDF]
Communications in Mathematical Physics, 1999 23 pages, LaTeX ...
openaire +2 more sources