Lie derivations of dual extensions of algebras
Colloquium Mathematicae (2015)
- Volume: 141, Issue: 1, page 65-82
- ISSN: 0010-1354
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topYanbo Li, and Feng Wei. "Lie derivations of dual extensions of algebras." Colloquium Mathematicae 141.1 (2015): 65-82. <http://eudml.org/doc/286450>.
@article{YanboLi2015,
abstract = {Let K be a field and Γ a finite quiver without oriented cycles. Let Λ := K(Γ,ρ) be the quotient algebra of the path algebra KΓ by the ideal generated by ρ, and let 𝒟(Λ) be the dual extension of Λ. We prove that each Lie derivation of 𝒟(Λ) is of the standard form.},
author = {Yanbo Li, Feng Wei},
journal = {Colloquium Mathematicae},
keywords = {finite quivers; generalized matrix algebras; Lie derivations; dual extensions; central maps},
language = {eng},
number = {1},
pages = {65-82},
title = {Lie derivations of dual extensions of algebras},
url = {http://eudml.org/doc/286450},
volume = {141},
year = {2015},
}
TY - JOUR
AU - Yanbo Li
AU - Feng Wei
TI - Lie derivations of dual extensions of algebras
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 1
SP - 65
EP - 82
AB - Let K be a field and Γ a finite quiver without oriented cycles. Let Λ := K(Γ,ρ) be the quotient algebra of the path algebra KΓ by the ideal generated by ρ, and let 𝒟(Λ) be the dual extension of Λ. We prove that each Lie derivation of 𝒟(Λ) is of the standard form.
LA - eng
KW - finite quivers; generalized matrix algebras; Lie derivations; dual extensions; central maps
UR - http://eudml.org/doc/286450
ER -
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