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math.RA2024★ 3 cited
A -first Whitehead Lemma for Jordan algebras
Arezoo Zohrabi, Pasha Zusmanovich
We compute -derivations of simple Jordan algebras with values in irreducible bimodules. They turn out to be either ordinary derivations (), or scalar multiples of the iden…
math.RA2022
A -first Whitehead Lemma
Arezoo Zohrabi, Pasha Zusmanovich
We prove that -derivations of a simple finite-dimensional Lie algebra over a field of characteristic zero, with values in a finite-dimensional module, are either inner derivatio…
math.RA2019
On Hermitian and skew-Hermitian matrix algebras over octonions
Arezoo Zohrabi, Pasha Zusmanovich
We prove simplicity, and compute -derivations and symmetric associative forms of algebras in the title.