3 citations · 5 across the 5 of their papers we have counts for
5 papers
Geometric approaches to Lie bialgebras, their classification, and applications
Daniel Wysocki
This PhD Thesis consists of two parts. The first part focuses on novel algebraic and geometric approaches to the classification problem of coboundary Lie bialgebras up to Lie algeb…
Darboux families and the classification of real four-dimensional indecomposable coboundary Lie bialgebras
J. de Lucas, D. Wysocki
This work introduces a new concept, the so-called Darboux family, which is employed to determine, to analyse geometrically, and to classify up to Lie algebra automorphisms, in a re…
A note on cohomology for multiplier Hopf algebras
Andrzej Sitarz, Daniel Wysocki
In this note we discuss the possibility of constructing the cosimplicial complex for the multiplier Hopf algebras and extending the cyclicity operator to obtain the Hopf-cyclic coh…
Stratified Lie systems: Theory and applications
J. F. Cariñena, J. de Lucas, D. Wysocki
A stratified Lie system is a nonautonomous system of first-order ordinary differential equations on a manifold described by a -dependent vector field ,…
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…