On the homotopy Lie algebra of an arrangement

@article{Denham2006OnTH,
  title={On the homotopy Lie algebra of an arrangement},
  author={G. Denham and Alexander I. Suciu},
  journal={Michigan Mathematical Journal},
  year={2006},
  volume={54},
  pages={319-340}
}
  • G. Denham, Alexander I. Suciu
  • Published 2006
  • Mathematics
  • Michigan Mathematical Journal
  • Let A be a graded-commutative, connected k-algebra generated in degree 1. The homotopy Lie algebra g_A is defined to be the Lie algebra of primitives of the Yoneda algebra, Ext_A(k,k). Under certain homological assumptions on A and its quadratic closure, we express g_A as a semi-direct product of the well-understood holonomy Lie algebra h_A with a certain h_A-module. This allows us to compute the homotopy Lie algebra associated to the cohomology ring of the complement of a complex hyperplane… CONTINUE READING
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