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G-algebroids: a unified framework for exceptional and generalised geometry, and Poisson-Lie duality

by Mark Bugden, Ondrej Hulik, Fridrich Valach, Daniel Waldram




Fortschritte der Physik, vol. 69, issue 4-5, id. 2100028


We introduce the notion of G-algebroid, generalising both Lie and Courant algebroids, as well as the algebroids used in En(n) × + exceptional generalised geometry for n∈{3,…,6}. Focusing on the exceptional case, we prove a classification of "exact" algebroids and translate the related classification of Leibniz parallelisable spaces into a tractable algebraic problem.


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Additional Information

Brief introduction of the dida co-author(s) and relevance for dida's ML developments.

About the Co-Author

Mark has a background in mathematics and physics, completing his PhD in String Theory and higher-dimensional black holes (Australian National University, Canberra). During postdocs in the Czech Republic (Charles University, Prague) and Germany (Max Planck Institute, Konstanz), he developed an interest in, and experience with, neural networks and machine learning. At dida he works as a Machine Learning Scientist, bridging the gap between theoretical and practical.