Dimension formulas of the highest weight exceptional Lie algebra-modules

Given a complex simple exceptional Lie algebra $ \mathfrak g $, let $ \mathscr V_\lambda $ be an irreducible finite-dimensional $ \mathfrak g $-module with highest weight $ \lambda $. We provide the precise dimension formula of $ \dim \mathscr V_{\lambda} $.

Bibliographic Details
Main Authors: Yupei Zhang, Yongzhi Luan
Format: Article
Language:English
Published: AIMS Press 2024-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://aimspress.com/article/doi/10.3934/math.2024490?viewType=HTML