Samuel A. Lopes
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Noncommutative Algebra and Representation Theory: Symmetry, Structure &
Invariants
cm:11678 -
Communications in Mathematics,
December 21, 2023,
Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics)
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https://doi.org/10.46298/cm.11678
Noncommutative Algebra and Representation Theory: Symmetry, Structure &
InvariantsArticle
Authors: Samuel A. Lopes
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Samuel A. Lopes
This is an abridged version of our Habilitation thesis. In these notes, we
aim to summarize our research interests and achievements as well as motivate
what drives our work: symmetry, structure and invariants. The paradigmatic
example which permeates and often inspires our research is the Weyl algebra
$\mathbb{A}_{1}$.