# MathSciDoc: An Archive for Mathematician ∫

#### Representation TheoryRings and Algebrasmathscidoc: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).
```@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.