Flags of subalgebras in contracted Lie algebras
DOI:
https://doi.org/10.15407/dopovidi2021.04.009Keywords:
contractions of Lie algebras, flags of subalgebras, flags of subspaces in Lie algebras, six-dimensional nilpotent Lie algebrasAbstract
We prove a theorem that describes the behavior of subalgebra flags of Lie algebras under contractions and can be applied as a new criterion for the non-existence of contractions. A weaker version of the theorem is ob tained for flags of subspaces. Using the theorem, we prove the non-existence of contractions for a number of pairs of sixdimensional nilpotent real Lie algebras, for which the earlier known criteria do not work.
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