A note on semidirect sum of Lie algebras
Discussiones Mathematicae - General Algebra and Applications (2013)
- Volume: 33, Issue: 2, page 233-247
- ISSN: 1509-9415
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topTadeusz Ostrowski. "A note on semidirect sum of Lie algebras." Discussiones Mathematicae - General Algebra and Applications 33.2 (2013): 233-247. <http://eudml.org/doc/270203>.
@article{TadeuszOstrowski2013,
abstract = {In the paper there are investigated some properties of Lie algebras, the construction which has a wide range of applications like computer sciences (especially to computer visions), geometry or physics, for example. We concentrate on the semidirect sum of algebras and there are extended some theoretic designs as conditions to be a center, a homomorphism or a derivative. The Killing form of the semidirect sum where the second component is an ideal of the first one is considered as well.},
author = {Tadeusz Ostrowski},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {Lie algebra; subalgebra; ideal; center; semidirect sum; homomorphism; derivation; Killing form; killing form},
language = {eng},
number = {2},
pages = {233-247},
title = {A note on semidirect sum of Lie algebras},
url = {http://eudml.org/doc/270203},
volume = {33},
year = {2013},
}
TY - JOUR
AU - Tadeusz Ostrowski
TI - A note on semidirect sum of Lie algebras
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2013
VL - 33
IS - 2
SP - 233
EP - 247
AB - In the paper there are investigated some properties of Lie algebras, the construction which has a wide range of applications like computer sciences (especially to computer visions), geometry or physics, for example. We concentrate on the semidirect sum of algebras and there are extended some theoretic designs as conditions to be a center, a homomorphism or a derivative. The Killing form of the semidirect sum where the second component is an ideal of the first one is considered as well.
LA - eng
KW - Lie algebra; subalgebra; ideal; center; semidirect sum; homomorphism; derivation; Killing form; killing form
UR - http://eudml.org/doc/270203
ER -
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