عنوان
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Complex and Kähler structures on hom-Lie algebras
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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proper hom-Lie algebra, almost Hermitian structure, hom-Levi-Civita product, Kähler hom-Lie algebra, phase space
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چکیده
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(Almost) Complex and Hermitian structures on hom-Lie algebras are introduced and some examples of these structures are presented. We study the complexification of hom-Lie algebras. Also, the notion of Kähler hom-Lie algebras is introduced and then using a Kähler hom-Lie algebra, we present a phase space. Finally, we describe all two-dimension non-abelian Kähler hom-Lie algebra and also it is shown that there does not exist a non- abelian Kähler proper hom-Lie algebra of dimension two.
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پژوهشگران
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لیلا نورمحمدی فر (نفر دوم)، اسماعیل پیغان (نفر اول)
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