Deformation of the Poisson Structure Related to Algebroid Bracket of Differential Forms and Application to Real Low Dimentional Lie Algebras

Dobrogowska, Alina; Jakimowicz, Grzegorz; Szajewska, Marzena; Wojciechowicz, Karolina

doi:10.7546/giq-20-2019-122-130

VOL. 20 | 2019 Deformation of the Poisson Structure Related to Algebroid Bracket of Differential Forms and Application to Real Low Dimentional Lie Algebras

Chapter Author(s) Alina Dobrogowska, Grzegorz Jakimowicz, Marzena Szajewska, Karolina Wojciechowicz

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Geom. Integrability & Quantization, 2019: 122-130 (2019) DOI: 10.7546/giq-20-2019-122-130

Abstract

The main goal of this paper is to present the possibility of application of some well known tools of Poisson geometry to classification of real low dimensional Lie algebras.