# Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras

Serdica Mathematical Journal (2010)

- Volume: 35, Issue: 2, page 171-210
- ISSN: 1310-6600

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topFιndιk, Şehmus. "Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras." Serdica Mathematical Journal 35.2 (2010): 171-210. <http://eudml.org/doc/281519>.

@article{Fιndιk2010,

abstract = {2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism φ of Lm,c is called normal if φ(I) = I for every ideal I of the algebra Lm,c. Such automorphisms form a normal subgroup N(Lm,c) of Aut (Lm,c) containing the group of inner automorphisms. We describe the group of normal automorphisms of Lm,c and the quotient group of Aut (Lm,c) modulo N(Lm,c).},

author = {Fιndιk, Şehmus},

journal = {Serdica Mathematical Journal},

keywords = {Free Lie Algebras; Free Metabelian Nilpotent Lie Algebras; Inner Automorphisms; Normal Automorphisms; free Lie algebras; free metabelian nilpotent Lie algebras; inner automorphisms; normal automorphisms.},

language = {eng},

number = {2},

pages = {171-210},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras},

url = {http://eudml.org/doc/281519},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Fιndιk, Şehmus

TI - Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras

JO - Serdica Mathematical Journal

PY - 2010

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 35

IS - 2

SP - 171

EP - 210

AB - 2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism φ of Lm,c is called normal if φ(I) = I for every ideal I of the algebra Lm,c. Such automorphisms form a normal subgroup N(Lm,c) of Aut (Lm,c) containing the group of inner automorphisms. We describe the group of normal automorphisms of Lm,c and the quotient group of Aut (Lm,c) modulo N(Lm,c).

LA - eng

KW - Free Lie Algebras; Free Metabelian Nilpotent Lie Algebras; Inner Automorphisms; Normal Automorphisms; free Lie algebras; free metabelian nilpotent Lie algebras; inner automorphisms; normal automorphisms.

UR - http://eudml.org/doc/281519

ER -

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