Samuel A. Lopes
-
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)
-
https://doi.org/10.46298/cm.11678Noncommutative Algebra and Representation Theory: Symmetry, Structure &
InvariantsArticle
Authors: Samuel A. Lopes
NULL
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 $\mathbb{A}_{1}$.
Comment: This is a survey paper with no proofs
Volume: Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics)
Published on: December 21, 2023
Accepted on: September 27, 2023
Submitted on: August 1, 2023
Keywords: Mathematics - Representation Theory, Mathematics - Combinatorics, Mathematics - Rings and Algebras, 16-02