TY - JOUR T1 - Invariants for Automorphisms of the Underlying Algebras Relative to Lie Algebras of Cartan Type AU - Sun , Xiumei AU - Wang , Jingguo AU - Liu , Wende JO - Communications in Mathematical Research VL - 4 SP - 329 EP - 334 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/18994.html KW - Lie algebra, filtration, automorphism. AB -

Let $X$ denote a finite or infinite dimensional Lie algebra of Cartan type $W$, $S$, $H$ or $K$ over a field of characteristic $p ≥ 3$. In this paper it is proved that certain filtrations of the underlying algebras are invariant under the admissible groups relative to Lie algebras of Cartan type $X$.