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Biderivations, linear commuting maps and commutative post-Lie algebra structures on W-algebras

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ABSTRACT In this paper, the biderivations without the skew-symmetric condition of W-algebras including the Witt algebra, the algebra W(2,2) and their central extensions are characterized. Some classes of non-inner biderivations… Click to show full abstract

ABSTRACT In this paper, the biderivations without the skew-symmetric condition of W-algebras including the Witt algebra, the algebra W(2,2) and their central extensions are characterized. Some classes of non-inner biderivations are presented. As applications, the forms of linear commuting maps and the commutative post-Lie algebra structures on aforementioned W-algebras are given.

Keywords: maps commutative; algebra; linear commuting; commutative post; post lie; commuting maps

Journal Title: Communications in Algebra
Year Published: 2017

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