CAPABILITY OF LOW-DIMENSIONAL NILPOTENT ۳-LIE ALGEBRAS

In this paper, we characterize the capability of nilpotent n- Lie algebras of dimensionat most n + ۳ over an arbitrary field when n > ۲ and the capability of ۷ -dimensional nilpotent ۳ -Lie algebras over field \mathcal {K} with char \mathcal {K}\ ne ۲.

کلیدواژه ها:

capable n-Lie algebra ، nilpotent n-Lie algebra ، multiplier