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Volume 29, Issue 4
Invariants for Automorphisms of the Underlying Algebras Relative to Lie Algebras of Cartan Type

Xiumei Sun, Jingguo Wang & Wende Liu

Commun. Math. Res., 29 (2013), pp. 329-334.

Published online: 2021-05

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  • 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 $X$.

  • AMS Subject Headings

17B50, 17B40

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COPYRIGHT: © Global Science Press

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@Article{CMR-29-329, author = {Sun , XiumeiWang , Jingguo and Liu , Wende}, title = {Invariants for Automorphisms of the Underlying Algebras Relative to Lie Algebras of Cartan Type}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {4}, pages = {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 $X$.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/18994.html} }
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 $X$.

Sun , XiumeiWang , Jingguo and Liu , Wende. (2021). Invariants for Automorphisms of the Underlying Algebras Relative to Lie Algebras of Cartan Type. Communications in Mathematical Research . 29 (4). 329-334. doi:
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