Abstract
For a transitive depth-one graded Lie algebra over a field of characteristic greater than two, a limit on the degree of the highest gradation space is determined.
Highlights
L−1 + L0 + L1, which we will assume to be finite dimensional
Lk is a transitive graded Lie algebra which is generated by its finitedimensional local part, the height k of L is less than or equal to n ( p −1) −1, where n = dim L−1
L− 1 we have by the Leibniz rule that j
Summary
L−1 + L0 + L1, which we will assume to be finite dimensional. We will refer to k as the height of L . Lk is a transitive graded Lie algebra which is generated by its finitedimensional local part, the height k of L is less than or equal to n ( p −1) −1, where n = dim L−1.
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