What question did this study set out to answer?

To establish criteria for when an element is the formal character of a Weyl module in type A Lie algebras.

March 29, 2026Open Access

Rigidity of Formal Characters of Lie algebras of type A

Key Points

To establish criteria for when an element is the formal character of a Weyl module in type A Lie algebras.
Analyzed a family of elements in the context of complex simple Lie algebras of type A.
Applied two natural conditions to determine the rigidity of formal characters.
Identified the conditions under which an element is the formal character of the Weyl module V().
Demonstrated the structural properties of type A Lie algebras regarding formal characters.

Abstract

For a complex simple Lie algebra of type A, given a family of elements f Z , + , we show that f is just the formal character of the Weyl module V () if f satisfies two natural conditions.

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