عنوان
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Lie-superalgebras with a set grading
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Graded Lie superalgebras; set-grade Lie algebras; infinite dimensional Lie superalgebra; structure theory
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چکیده
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This paper studies Lie superalgebras graded by an arbitrary set S (set grading). We show that the set-graded Lie superalgebra L decomposes as the sum of well-described set-graded ideals plus a certain linear subspace. Under certain conditions, the simplicity of L is characterized and it is shown that the above decomposition is exactly the direct sum of the family of its minimal set-graded ideals, each one being a simple set-graded Lie superalgebra.
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پژوهشگران
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ولی اله خلیلی (بازنشسته) (نفر اول)
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