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RESEARCH PRODUCT
Lie nilpotence of group rings
Sudarshan K. SehgalAntonio Giambrunosubject
Discrete mathematicsPure mathematicsAlgebra and Number TheoryRepresentation of a Lie groupTriple systemSimple Lie groupAdjoint representationSkew-symmetric matrixWeightGroup algebraGroup ringMathematicsdescription
Let FG be the group algebra of a group G over a field F. Denote by ∗ the natural involution, (∑fi gi -1. Let S and K denote the set of symmetric and skew symmetric and skew symmetric elements respectively with respect to this involutin. It is proved that if the characteristic of F is zero p≠2 and G has no 2-elements, then the Lie nilpotence of S or K implies the Lie nilpotence of FG.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-01-01 | Communications in Algebra |