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 $\mathbb{A}_{1}$.


    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

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