Results 61 to 70 of about 9,331,100 (206)

HYPERKÄHLER STRUCTURES WITH TORSION ON NILPOTENT LIE GROUPS [PDF]

Glasgow Mathematical Journal, 2003
Let \((M, g, I, J, K)\) be a hyper-Hermitian manifold. The manifold \(M\) (or equivalently, the metric \(g\)) is called hyper-Kähler with torsion (HKT) if \(\nabla g = \nabla I = \nabla J = \nabla K = 0\) and the torsion tensor \(c (X, Y, Z) = g (T (X, Y), Z)\) is totally skew, where \(\nabla\) is the Levi-Cività connection and \(T\) is the torsion of \
Feix, Birte, Pedersen, Henrik
openaire   +2 more sources

Exceptional families of measures on Carnot groups

Analysis and Geometry in Metric Spaces, 2023
We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
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

Hypoelliptic Heat Kernels on Nilpotent Lie Groups

Potential Analysis, 2016
The starting point of our analysis is an old idea of writing an eigenfunction expansion for a heat kernel considered in the case of a hypoelliptic heat kernel on a nilpotent Lie group $G$. One of the ingredients of this approach is the generalized Fourier transform. The formula one gets using this approach is explicit as long as we can find all unitary
Asaad, Malva, Gordina, Maria
openaire   +2 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

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

Intrinsic regular surfaces in Carnot groups

Bruno Pini Mathematical Analysis Seminar
A Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
doaj   +1 more source

Quiver theories and Hilbert series of classical Slodowy intersections

Nuclear Physics B, 2020
We build on previous studies of the Higgs and Coulomb branches of SUSY quiver theories having 8 supercharges, including 3dN=4, and Classical gauge groups. The vacuum moduli spaces of many such theories can be parameterised by pairs of nilpotent orbits of
Amihay Hanany, Rudolph Kalveks
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

Rigidity Phenomena of Group Actions on a Class of Nilmanifolds and Anosov R^n Actions [PDF]

, 1992
An action of a group Г on a manifold M is a homomorphism ρ from Г to Diff(M). ρo is locally rigid if the nearby homomorphism ρ, ρ(γ) = h o ρ0, (γ) 0h^(-1) for some h Є Diff(M) and for all, γ Є Г.
Qian, Nantian
core   +1 more source