A note on semidirect sum of Lie algebras

• Autorzy: Tadeusz Ostrowski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Lie algebra   subalgebra   ideal   center   semidirect sum   homomorphism   derivation   Killing form  

Kategorie tematyczne

• 17B66: Lie algebras of vector fields and related (super) algebras
• 17B40: Automorphisms, derivations, other operators

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2013
• Tom: 33
• Numer: 2
• Strony: 233-247

Daty

wydano

2013

otrzymano

2013-07-02

poprawiono

2013-08-05

Twórcy

autor

Tadeusz Ostrowski

• The State Higher Vocational School in Gorzów Wlkp., Technical Institute, ul. Mysliborska 34, 66-400 Gorzów Wlkp., Poland

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Identyfikatory

DOI

10.7151/dmgaa.1208