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arXiv · 0903.4933

A-infinity structures related to bi-Koszul algebras

J. -R. Si·D. -M. Lu
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Abstract

Let $A$ be a bi-Koszul algebra, we describe all possible $A_\infty$-algebra structures on the Ext-algebra $E(A)$, and prove that $E(A)$ must be $[m_2, m_3]$-finitely generated. An equivalent description for a connected graded algebra to be a bi-Koszul algebra is given in terms of $A_\infty$-language. The case that $E(A)$ is endowed with minimal number of multiplications is discussed for decomposition.

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J. -R. Si, D. -M. Lu. 2009-03-28. A-infinity structures related to bi-Koszul algebras. https://arxiv.org/abs/0903.4933

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