# Irreducible representations of simple Lie algebras by differential operators

@article{Morozov2021IrreducibleRO,
title={Irreducible representations of simple Lie algebras by differential operators},
author={Aleksey Morozov and M. Reva and N. Tselousov and Yegor Zenkevich},
journal={The European Physical Journal C},
year={2021},
volume={81}
}
• Published 7 June 2021
• Materials Science
• The European Physical Journal C
We describe a systematic method to construct arbitrary highest-weight modules, including arbitrary finite-dimensional representations, for any finite dimensional simple Lie algebra g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak {g}}$$\end{document}. The Lie algebra generators are represented as first…
2 Citations
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