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Extension algebras of standard modules

Liping Li

Representation Theory Rings and Algebras mathscidoc:1702.30006

Comm. Algebra, 41, 3445-3464, 2013
Let $A$ be a finite dimensional k-algebra standardly stratified for a partial order $\leqslant$ and $\Delta$ be the direct sum of all standard modules. In this paper we study the extension algebra $E = Ext^{\ast}_A (Δ,Δ)$ of standard modules, characterize the stratification property of $E$ for $\geqslant$ and $\geqslant ^{op}$, and obtain a sufficient condition for $E$ to be a generalized Koszul algebra (in a sense which we define).
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@inproceedings{liping2013extension,
  title={Extension algebras of standard modules},
  author={Liping Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222102436543716486},
  booktitle={Comm. Algebra},
  volume={41},
  pages={3445-3464},
  year={2013},
}
Liping Li. Extension algebras of standard modules. 2013. Vol. 41. In Comm. Algebra. pp.3445-3464. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222102436543716486.
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