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AUTOMORPHISMS AND DERIVATIONS IN TRAIN ALGEBRAS OF DEGREE 2 AND EXPONENT 4
Keywords:
idempotent, Peirce decomposition, automorphism, derivation, train algebra of degree 2 and exponent 4.DOI:
https://doi.org/10.17654/0972087125028Abstract
In this paper, we determine the Lie algebra of the derivations of a train algebra of degree 2 and exponent 4 , as well as the group of automorphisms of the types $(1+r, 0,0, t)$ and $(1+r, 0, t, 0)$. As for the Lie algebra of derivations, after a study in the general case, we describe more precisely its structure for some train algebras of degree 2 and exponent 4 in dimension 4 .
Received: April 19, 2025
Accepted: June 23, 2025
References
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