# A-INFINITY STRUCTURE ON EXT-ALGEBRAS

@article{Lu2006AINFINITYSO,
title={A-INFINITY STRUCTURE ON EXT-ALGEBRAS},
author={D.-M. Lu and John H. Palmieri and Q.-S. Wu and James Jian-Ping Zhang},
journal={Journal of Pure and Applied Algebra},
year={2006},
volume={213},
pages={2017-2037}
}
• D. Lu, +1 author J. J. Zhang
• Published 6 June 2006
• Mathematics
• Journal of Pure and Applied Algebra
Abstract Let A be a connected graded algebra and let E denote its Ext-algebra ⨁ i Ext A i ( k A , k A ) . There is a natural A ∞ -structure on E , and we prove that this structure is mainly determined by the relations of A . In particular, the coefficients of the A ∞ -products m n restricted to the tensor powers of Ext A 1 ( k A , k A ) give the coefficients of the relations of A . We also relate the m n ’s to Massey products.
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