Notes on Jordan type of an Artinian algebra

Authors

  • Pedro Macias Marques Departamento de Matemática, Universidade de Évora

Keywords:

Jordan type, Aritinian algebra, deformations, Gorenstein, symmetric decomposition

Abstract

These notes were made for the Preparatory School on Lefschetz Properties, held from 6th to 10th May 2024, in Kraków, ahead of the conference "Lefschetz properties in algebra, geometry, topology, and combinatorics". They are a short introduction to Jordan type of an Artinian algebra, and collect basic results known so far, with examples to illustrate them along the way.

References

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Iarrobino, Anthony, and Pedro Macias Marques. "Reducibility of a family of local Artinian Gorenstein algebras." Preprint. arXiv:2112.14664.
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Iarrobino, Anthony, Pedro Macias Marques, and Chris McDaniel. "Artinian algebras and Jordan type." J. Commut. Algebra 14, no. 3 (2022): 365-414.
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Iarrobino, Anthony, Pedro Macias Marques, and Johanna Steinmeyer. "Jordan type and symmetric decomposition of an Artinian Gorenstein algebra." In preparation.
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Published

2025-11-24

How to Cite

Marques, P. M. (2025). Notes on Jordan type of an Artinian algebra. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 24, 143–173. Retrieved from https://studmath.uken.krakow.pl/article/view/12386

Issue

Vol. 24 (2025)

Section

Published on-line (DOI inactive)

License

Copyright (c) 2025 Wydawnictwo Naukowe Uniwersytetu Komisji Edukacji Narodowej

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