Cohomology and Deformations of the Infinite Dimensional Filiform Lie Algebra M2 Alice Fialowski and Friedrich Wagemann
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چکیده
Let m2 denote the infinite dimensional N-graded Lie algebra defined by the basis ei for i ≥ 1 and by relations [e1, ei] = ei+1 for all i ≥ 2, [e2, ej ] = ej+2 for all j ≥ 3. We compute in this article the bracket structure on H(m2;m2), H (m2;m2) and in relation to this, we establish that there are only finitely many true deformations of m2 in each weight by constructing them explicitely. It turns out that in weight 0 one gets only trivial and one formal non-converging deformations.
منابع مشابه
Cohomology and Deformations of the Infinite Dimensional Filiform Lie Algebra M0 Alice Fialowski and Friedrich Wagemann
Denote m0 the infinite dimensional N -graded Lie algebra defined by basis ei i ≥ 1 and relations [e1, ei] = ei+1 for all i ≥ 2. We compute in this article the bracket structure on H(m0, m0) , H (m0, m0) and in relation to this, we establish that there are only finitely many true deformations of m0 in each nonpositive weight by constructing them explicitely. It turns out that in weight 0 one get...
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