Minimal models for monomial algebras

Title:Minimal models for monomial algebras

Authors:Pedro Tamaroff

Conference:HDRA 2018

Tags:A-infinity-(co)algebras, algebraic discrete morse theory, anick chain, Homological algebra, Homotopical algebra, Minimal models, monomial algebra, monomial quiver algebra and quasi free dga algebra

Abstract:

Using combinatorics of chains going back to works of Anick, Green, Happel and Zacharia, we give, for any monomial algebra A, an explicit description of its minimal model. This also provides us with formulas for a canonical A-infinity-structure on the Ext-algebra of the trivial A-module.

Minimal models for monomial algebras

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