English

Extension algebras of standard modules

Representation Theory 2013-11-07 v3 Rings and Algebras

Abstract

Let AA be a finite dimensional kk-algebra standardly stratified for a partial order \leqslant and Δ\Delta be the direct sum of all standard modules. In this paper we study the extension algebra E=ExtA(Δ,Δ)E= \text{Ext}_A^{\ast} (\Delta, \Delta) of standard modules, characterize the stratification property of EE for \leqslant and op\leqslant ^{op}, and obtain a sufficient condition for EE to be a generalized Koszul algebra (in a sense which we define).

Keywords

Cite

@article{arxiv.1110.6502,
  title  = {Extension algebras of standard modules},
  author = {Liping Li},
  journal= {arXiv preprint arXiv:1110.6502},
  year   = {2013}
}

Comments

The final version accepted by Comm. Algebra

R2 v1 2026-06-21T19:27:50.067Z