@article{Zhang2024, 
author = {Yupei Zhang and Yongzhi Luan},
title = {Dimension formulas of the highest weight exceptional Lie algebra-modules},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {10010-10030},
keywords = {Dynkin index, Weyl dimension formula, exceptional Lie algebra, highest weight module, symbolic computation},
url = {https://www.sciopen.com/article/10.3934/math.2024490},
doi = {10.3934/math.2024490},
abstract = {Given a complex simple exceptional Lie algebra        g  , let              V        λ   be an irreducible finite-dimensional        g  -module with highest weight    λ. We provide the precise dimension formula of    dim  ⁡            V              λ      .}
}