TY  - JOUR
T1  - ON THE GROUP OF POINTWISE INNER AUTOMORPHISMS
AU  - Aydın, Ela
PY  - 2023
DA  - July
Y2  - 2023
DO  - 10.33773/jum.1329709
JF  - Journal of Universal Mathematics
JO  - JUM
PB  - Gökhan ÇUVALCIOĞLU
WT  - DergiPark
SN  - 2618-5660
SP  - 221
EP  - 226
VL  - 6
IS  - 2
LA  - en
AB  - Let $L_{m,c}$ stand for the free metabelian nilpotent Lie algebra of class $c$ of rank $m$ over a field $K$ of characteristic zero.Automorphisms of the form $\varphi(x_i)=e^{adu_i}(x_i)$ are called pointwise inner, where $e^{adu_i}$, is the inner automorphisminduced by the element $u_i\in L_{m,c}$ for each $i=1,\ldots,m$. In the present study, we investigate the group structure ofthe group $\text{\rm PInn}(L_{m,c})$ of pointwise inner automorphisms of $L_{m,c}$ for low nilpotency classes.
KW  - Lie algebras
KW  - metabelian
KW  - nilpotent
KW  - pointwise inner
CR  - Y. A. Bahturin, Identical Relations in Lie Algebras (Russian), ”Nauka”, Moscow, 1985. Translation: VNU Science Press, Utrecht, (1987).
CR  - V. Drensky, Free Algebras and PI-Algebras, Springer, Singapore, (1999).
CR  - E. Aydın, Pointwise inner automoprphisms of relatively free Lie algebras, Journal of Universal Mathematics, Vol.5, No.2, pp.76-80 (2022).
UR  - https://doi.org/10.33773/jum.1329709
L1  - https://dergipark.org.tr/en/download/article-file/3273944
ER  -