Year: 2026
Type: article
Abstract: Let š¯”¤ be an exceptional complex simple Lie algebra and š¯”® be a parabolic subalgebra. A generalized Verma module M is called a scalar generalized Verma module if it is induced from a one-dimensional representation of š¯”® . In this paper, we will determine the first diagonal-reducible point of scalar generalized Verma modules associated to minimal parabolic subalgebras of exceptional Lie algebras by computing explicitly the Gelfandā€“Kirillov (GK) dimension of the corresponding highest weight modules.
Source: Journal of Lie Theory
DOI: 10.5802/jolt.1439
Authors: Jing Jiang, Siying Wu
Institution: East China Normal University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: China Scholarship Council
Award: G6767342411
OpenAlex ID: W4416528670
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