Derivation algebra of direct sum of lie algebras

Clicks: 183
ID: 72187
2019
Let $${L_1}$$ and $${L_2}$$ be two finite dimensional Lie algebras on arbitrary field F with no common direct factor and $$L = {L_1} \oplus {L_2}$$. In this article, we express the structure and dimension of derivation algebra of $$L$$, $$Der(L)$$, and some of their subalgebras in terms of $$Der({L_1})$$, $$Der({L_2})$$, $$Hom({L_1},Z({L_2}))$$, and $$Hom({L_2},Z({L_1}))$$.
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alemi2019derivationcogent Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Alemi, Mohammad Reza;Saeedi, Farshid;
Journal cogent mathematics & statistics
Year 2019
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