J. de Lucas

activity

20082026

most citedLie systems: theory, generalisations, and applications

55 citations · 486 across the 49 of their papers we have counts for

collaborators

Showing 2017 · math-phShow all

2 papers · 2 filters

math-ph2017★ 3 cited

A Grassmann and graded approach to coboundary Lie bialgebras, their classification, and Yang-Baxter equations

J. de Lucas, D. Wysocki

This work pioneers the systematic study and classification (up to Lie algebra automorphisms) of finite-dimensional coboundary Lie bialgebras through Grassmann algebras. Several mat…

math-ph2017★ 4 cited

Geometric features of Vessiot--Guldberg Lie algebras of conformal and Killing vector fields on $R^{2}$

M. M. Lewandowski, J. de Lucas

This paper locally classifies finite-dimensional Lie algebras of conformal and Killing vector fields on $R^{2}$ relative to an arbitrary pseudo-Riemannian metric. Several re…

A Grassmann and graded approach to coboundary Lie bialgebras, their classification, and Yang-Baxter equations

Geometric features of Vessiot--Guldberg Lie algebras of conformal and Killing vector fields on R2

Geometric features of Vessiot--Guldberg Lie algebras of conformal and Killing vector fields on $R^{2}$