$L_{\infty}$ algebra structures of Lie algebra deformations

Details $L_{\infty}$ algebra structures of Lie algebra deformations $L_{\infty}$ algebra structures of Lie algebra deformations

2004-10-10

arxiv.org/abs/math/0410247v1

Mathematics

Quantum Algebra

Scientific paper

In this paper,we will show how to kill the obstructions to Lie algebra
deformations via a method which essentially embeds a Lie algebra into Strong
homotopy Lie algebra or $L_{\infty}$ algebra. All such obstructions have been
transfered to the revelvant $L_{\infty}$ algebras which contain only three
terms

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