# 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 -

## References

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