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On complex H-type Lie algebras

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Publication:4553959
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DOI10.4418/2018.73.1.11zbMath1420.17013arXiv1406.2396OpenAlexW2460866827MaRDI QIDQ4553959

Nathaniel Eldredge

Publication date: 7 November 2018

Full work available at URL: https://arxiv.org/abs/1406.2396



Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Complex Lie groups, group actions on complex spaces (32M05) Solvable, nilpotent (super)algebras (17B30) Complex manifolds (32Q99)




Cites Work

  • \(L^{p}\) Hardy type inequality in the half-space on the H-type group
  • From \(U\)-bounds to isoperimetry with applications to H-type groups
  • Gradient estimates for the heat semigroup on \(\mathbb H\)-type groups
  • Gradient estimates for the subelliptic heat kernel on H-type groups
  • Polar coordinates in Carnot groups
  • Measure contraction properties of Carnot groups
  • Stratified Lie Groups and Potential Theory for their Sub-Laplacians
  • Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
  • Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups
  • Rigidity of \(H\)-type groups


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