XLI Workshop on Geometric Methods in Physics Białystok, 1-6.07.2024 XIII School on Geometry and Physics Białystok, 8-12.07.2024

Karolina Wojciechowicz

Linear bundle of Lie algebras applied to the classification of real Lie algebras

We present a new look at the classification of real low-dimensional Lie algebras based on the notion of linear bundle of Lie algebras. Belonging to suitable family of Lie bundles entails compatibility of Lie–Poisson structures on dual space to those algebras. It gives us thus compatibility of bi-Hamiltonian structure on space of upper triangular matrices and with a bundle at the algebra level.
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University of Białystok