Noncommutative Algebra and Representation Theory: Symmetry, Structure & Invariants

Samuel A. Lopes

doi:10.46298/cm.11678

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.11678

Noncommutative Algebra and Representation Theory: Symmetry, Structure & InvariantsArticle

Authors: 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

https://doi.org/10.46298/cm.11678

Source: arXiv.org:2307.16808

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

Licence: Attribution 4.0 International (CC BY 4.0)