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math.RA2022
Nilpotent Lie algebras with two centralizer dimensions over a finite field
Rijubrata Kundu, Tushar Kanta Naik, Anupam Singh
A result of Barnea and Isaacs states that if is a finite dimensional nilpotent Lie algebra with exactly two distinct centralizer dimensions, then nilpotency class of is eit…
math.RA2021★ 1 cited
Nilpotent Lie Algebras of breadth type
Rijubrata Kundu, Tushar Kanta Naik, Anupam Singh
For a natural number , a Lie algebra over a field is said to be of breadth type if the co-dimension of the centralizer of every non-central element is of dimens…