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math.RA2024
Lie affgebras vis-à-vis Lie algebras
Ryszard R. Andruszkiewicz, Tomasz Brzeziński, Krzysztof Radziszewski
It is shown that any Lie affgebra, that is an algebraic system consisting of an affine space together with a bi-affine bracket satisfying affine versions of the antisymmetry and Ja…
math.RA2024
On matrix Lie affgebras
Tomasz Brzeziński, Krzysztof Radziszewski
Lie brackets or Lie affgebra structures on several classes of affine spaces of matrices are studied. These include general normalised affine matrices, special normalised affine mat…