Invariants for Automorphisms of the Underlying Algebras Relative to Lie Algebras of Cartan Type

Invariants for Automorphisms of the Underlying Algebras Relative to Lie Algebras of Cartan Type

Year:    2013

Author:    Xiumei Sun, Jingguo Wang, Wende Liu

Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 329–334

Abstract

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 $X$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-18994

Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 329–334

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Lie algebra filtration automorphism.

Author Details

Xiumei Sun

Jingguo Wang

Wende Liu