Graded contractions of g2

Published 11 Jul 2023 in math.RA | (2307.05308v2)

Abstract: Graded contractions of the fine $\mathbb{Z}_2^3$-grading on the complex exceptional Lie algebra $\mathfrak{g}_2$ are classified up to equivalence and up to strongly equivalence. In particular, a large family of 14-dimensional Lie algebras arise, most of them solvable.

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