Hông Vân Lê

activity

20092026

Z_{m}

-graded semisimple Lie algebras

2 citations · 6 across the 9 of their papers we have counts for

collaborators

9 papers

math.DG2026

Empirical Hodge Laplacians: Spectral Convergence and Harmonic Forms from Point Clouds

Hông Vân Lê

Let $M^{n} \subset R^{d}$ be a closed, connected, orientable $C^{4}$ -smooth Riemannian submanifold of dimension $n \geq 3$ . We construct, for each degree $0 \leq k \leq n$ , a family of de…

math.AT2026

Minimal Unital Cyclic $C_{\infty}$ -Algebras and the Real and Rational Homotopy Type of Closed Manifolds

Hông Vân Lê

Using the notion of isotopy modulo $k$ , for $k \in N^{+}$ , we introduce a stratification on the set of minimal $C_{\infty}$ -algebra enhancements of a finite-dimensional graded co…

math.AT2023

Unital $C_{\infty}$ -algebras and the real homotopy type of $(r - 1)$ -connected compact manifolds of dimension $\leq ℓ (r - 1) + 2$

Domenico Fiorenza, Hông Vân Lê

We encode the real homotopy type of an $n$ -dimensional $(r - 1)$ -connected compact manifold $M$ , $r \geq 2$ into a minimal unital $C_{\infty}$ -structure on $H^{*} (M, R)$ , obtained…

math.RT2022★ 1 cited

Semisimple elements and the little Weyl group of real semisimple $Z_{m}$ -graded Lie algebras

Willem de Graaf, Hông Vân Lê

We consider the semisimple orbits of a Vinberg $θ$ -representation. First we take the complex numbers as base field. By a case by case analysis we show a technical result stating th…

math.DG2019★ 1 cited

Almost formality of manifolds of low dimension

Domenico Fiorenza, Kotaro Kawai, Hông Vân Lê +1

In this paper we introduce the notion of Poincaré DGCAs of Hodge type, which is a subclass of Poincaré DGCAs encompassing the de Rham algebras of closed orientable manifolds. Then…

math.SG2015★ 1 cited

Compact symplectic manifolds of low cohomogeneity (corrected version)

Hông Vân Lê

This is a corrected version of my paper published in Journal of Geometry and Physics 25(1998), 205-226. I added missing cases to the classification theorem 1.1, namely the $SO(n+1)…

math.LO2010★ 1 cited

Constructing elusive functions with help of evaluation mappings

Hong Van Le

We develop a method to construct elusive functions using techniques of commutative algebra and algebraic geometry. The key notions of this method are elusive subsets and evaluation…

math.DG2010

Poisson smooth structures on stratified symplectic spaces

Hong Van Le, Petr Somberg, Jiri Vanzura

In this paper we introduce the notion of a smooth structure on a stratified space, the notion of a Poisson smooth structure and the notion of a weakly symplectic smooth structure o…

math.RT2009★ 2 cited

Orbits in real $Z_{m}$ -graded semisimple Lie algebras

Hong Van Le

In this note we propose a method to classify homogeneous nilpotent elements in a real $Z_{m}$ -graded semisimple Lie algebra $g$ . Using this we describe the set of orbits of homogeneo…

Empirical Hodge Laplacians: Spectral Convergence and Harmonic Forms from Point Clouds

Minimal Unital Cyclic C∞​-Algebras and the Real and Rational Homotopy Type of Closed Manifolds

Unital C∞​-algebras and the real homotopy type of (r−1)-connected compact manifolds of dimension ≤ℓ(r−1)+2

Semisimple elements and the little Weyl group of real semisimple Zm​-graded Lie algebras

Almost formality of manifolds of low dimension

Compact symplectic manifolds of low cohomogeneity (corrected version)

Constructing elusive functions with help of evaluation mappings

Poisson smooth structures on stratified symplectic spaces

Orbits in real Zm​-graded semisimple Lie algebras

Minimal Unital Cyclic $C_{\infty}$ -Algebras and the Real and Rational Homotopy Type of Closed Manifolds

Unital $C_{\infty}$ -algebras and the real homotopy type of $(r - 1)$ -connected compact manifolds of dimension $\leq ℓ (r - 1) + 2$

Semisimple elements and the little Weyl group of real semisimple $Z_{m}$ -graded Lie algebras

Orbits in real $Z_{m}$ -graded semisimple Lie algebras