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- W1982484094 abstract "Let K be a field of characteristic 0, let W 1 =Der K ( K [ x ]), and let M =( W 1 )∘=the dual Lie coalgebra of W 1 . By definition ( W 1 )∘ is the largest subspace of ( W 1 ) ∗ carrying a Lie coalgebra structure induced by the restriction to ( W 1 )∘ of ϕ ∗ where ϕ =[,]: W 1 ⊗ W 1 → W 1 is the Lie bracket of W 1 . Then M is an example of a non-zero Lie coalgebra in which no element of M other than 0 lies in a finite-dimensional sub Lie coalgebra. Thus Loc( M )=0 where Loc( M ) denotes the sum of all of the finite-dimensional sub Lie coalgebras of M ." @default.
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- W1982484094 date "1990-12-01" @default.
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- W1982484094 title "An example of a non-zero Lie coalgebra M for which Loc(M)=0" @default.
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