Results 71 to 80 of about 538,257 (210)

Branes and the Kraft-Procesi transition: classical case

Journal of High Energy Physics, 2018
Moduli spaces of a large set of 3d N=4 $$ \mathcal{N}=4 $$ effective gauge theories are known to be closures of nilpotent orbits. This set of theories has recently acquired a special status, due to Namikawa’s theorem.
Santiago Cabrera, Amihay Hanany
doaj   +1 more source

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

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

Quiver theories and formulae for Slodowy slices of classical algebras

Nuclear Physics B, 2019
We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g.
Santiago Cabrera, Amihay Hanany, Rudolph Kalveks   +2 more
doaj   +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

Nilpotent Lie algebras of vectorfields.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1988
Let L be a nilpotent Lie algebra generated by the analytic vector fields X 1,...,X k on the manifold M, and let \(p\in M\) a point at which L(p) is the full tangent space \(T_ pM\). It is shown that under these hypotheses there are local coordinates \((x_ 1,...,x_ n)\) in a neighbourhood of p and a group of dilations \(\{\delta_ t\}_{t>0}\) such that w.
openaire   +2 more sources

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

Heights on ‘hybrid orbits’ in Shimura varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

The sheets of a classical lie algebra [PDF]

, 2005
We consider the adjoint action of a connected complex semisimple group G on its Lie algebra g. A sheet of g is a maximal irreducible subset of g consisting of G-orbits of a fixed dimension.
Im Hof, Andreas Emanuel
core   +1 more source

Central Test Set and Central Test Rank of Free Nilpotent Lie Algebras of Rank 2

Mathematics
In this paper, we introduce and establish the concept of a central test set for free nilpotent Lie algebras. We prove that the central test rank of a free nilpotent Lie algebra Lc,2 of rank 2 and nilpotency class c = 3 equals 3. Furthermore, we show that
Özge Öztekin
doaj   +1 more source