A Lie-Theoretic Approach to the Invertibility Problem for Two-Dimensional Keller Endomorphisms Over the Real Numbers

Engineered Science, 2026

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DOI 10.30919/es2305
Data confidence 70 medium
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Abstract

A new Lie-theoretic approach to Keller endomorphisms is developed using exterior algebras and modules over the special Lie algebra of Cartan type. The method yields structural restrictions on homogeneous components and leads to a proof that the considered endomorphism is an automorphism in the studied case.