Gelfand-Tsetlin Modules for Lie Algebras of Rank 2
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6458Keywords:
-Lie-algebraAbstract
We explicitly construct families of simple modules for all simple Lie algebras of rank $2$ on which a certain commutative subalgebra acts diagonally with a simple spectrum. In type $A$, these modules are the well-known generic Gelfand-Tsetlin modules.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Milica Andelic, Carlos M. da Fonseca, Vyacheslav Futorny, Andrew Tsylke
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.