Maximal solvable extensions of filiform algebras

Libor Šnobl

Archivum Mathematicum (2011)

  • Volume: 047, Issue: 5, page 405-414
  • ISSN: 0044-8753

Abstract

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It is already known that any filiform Lie algebra which possesses a codimension 2 solvable extension is naturally graded. Here we present an alternative derivation of this result.

How to cite

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Šnobl, Libor. "Maximal solvable extensions of filiform algebras." Archivum Mathematicum 047.5 (2011): 405-414. <http://eudml.org/doc/246506>.

@article{Šnobl2011,
abstract = {It is already known that any filiform Lie algebra which possesses a codimension 2 solvable extension is naturally graded. Here we present an alternative derivation of this result.},
author = {Šnobl, Libor},
journal = {Archivum Mathematicum},
keywords = {solvable and nilpotent Lie algebras; filiform algebras; solvable Lie algebra; nilpotent Lie algebra; filiform algebra},
language = {eng},
number = {5},
pages = {405-414},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Maximal solvable extensions of filiform algebras},
url = {http://eudml.org/doc/246506},
volume = {047},
year = {2011},
}

TY - JOUR
AU - Šnobl, Libor
TI - Maximal solvable extensions of filiform algebras
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 5
SP - 405
EP - 414
AB - It is already known that any filiform Lie algebra which possesses a codimension 2 solvable extension is naturally graded. Here we present an alternative derivation of this result.
LA - eng
KW - solvable and nilpotent Lie algebras; filiform algebras; solvable Lie algebra; nilpotent Lie algebra; filiform algebra
UR - http://eudml.org/doc/246506
ER -

References

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