Search results for "Skew-symmetric element"

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Group algebras and Lie nilpotence

2013

Abstract Let ⁎ be an involution of a group algebra FG induced by an involution of the group G. For char F ≠ 2 , we classify the groups G with no 2-elements and with no nonabelian dihedral groups involved whose Lie algebra of ⁎-skew elements is nilpotent.

Discrete mathematicsPure mathematicsAlgebra and Number TheorySimple Lie group010102 general mathematicsMathematics::Rings and AlgebrasUniversal enveloping algebra0102 computer and information sciencesGroup algebraSkew-symmetric element01 natural sciencesRepresentation theoryLie conformal algebraGraded Lie algebraRepresentation of a Lie groupgroup algebra unit010201 computation theory & mathematicsLie nilpotentGroup algebra0101 mathematicsNilpotent groupANÉIS E ÁLGEBRAS ASSOCIATIVOSMathematicsJournal of Algebra
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