Firstly, we prove three equivalent conditions for a solvable n-Lie algebra. Subsequently, mimicking the Borel subalgebra theory of Lie algebras, we give the definition of a Borel n-subalgebra of an n-Lie algebra, and prove two propositions about it.
英
美
- 第三節,證明了可解n-李代數的三個(gè)等價(jià)條件,并仿照李代數理論中的Borel子代數的定義,給出了Borel n-子代數的定義及相關(guān)性質(zhì)。