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

Published in:	AIMS mathematics Vol. 9; no. 4; pp. 10010 - 10030
Main Authors:	Zhang, Yupei, Luan, Yongzhi
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.01.2024
Subjects:	dynkin index exceptional lie algebra highest weight module symbolic computation weyl dimension formula
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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