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Title: On the diagonal subalgebra of an Ext algebra
Authors: Green, Edward L.
Snashall, Nicole
Solberg, Ø.
Zacharia, D.
First Published: 16-Dec-2014
Citation: 2014
Abstract: Let R be a Koszul algebra over a field k and M be a linear R-module. We study a graded subalgebra Δ[subscript: M] of the Ext-algebra $\operatorname{Ext}_R^*(M,M)$ called the diagonal subalgebra and its properties. Applications to the Hochschild cohomology ring of $R$ and to periodicity of linear modules are given. Viewing R as a linear module over its enveloping algebra, we also show that Δ[subscript: M] is isomorphic to the graded center of the Koszul dual of R. [abstract with TEX support available at]
Version: Pre-print
Type: Journal Article
Rights: Copyright © the authors, 2014.
Appears in Collections:Published Articles, Dept. of Mathematics

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