Abstract
The property of degeneration of modular graded Lie algebras, first investigated by B. Weisfeiler is analyzed. Transitive irreducible graded Lie algebras \( L = \sum\limits_{i \in \mathbb{Z}} {L_i} \) over an algebraically closed field of characteristic p > 2 with classical reductive component L 0 are considered. We show that if a nondegenerate Lie algebra L containes a transitive degenerate subalgebra L′such that dim L′1 > 1, then L is an infinite-dimensional Lie algebra.
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