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math.RT2023
Structure constants for simple Lie algebras from principal -triple
Abdelmalek Abdesselam, Alexander Thomas
For a simple complex Lie algebra , fixing a principal -triple and highest weight vectors induces a basis of as vector space. For $\mat…
math.RT2019
An algebraic independence result related to a conjecture of Dixmier on binary form invariants
Abdelmalek Abdesselam
In order to better understand the structure of classical rings of invariants for binary forms, Dixmier proposed, as a conjectural homogeneous system of parameters, an explicit coll…