A classification of algebras stratified for all preorders by Koszul theory

Details A classification of algebras stratified for all preorders by Koszul theory A classification of algebras stratified for all preorders by Koszul theory

2012-02-11

arxiv.org/abs/1202.2479v2

Mathematics

Representation Theory

This paper has been withdrawn by the author since it is replaced by another paper "algebras stratified for all partial orders"

Scientific paper

Let $A = \bigoplus_{i \geqslant 0} A_i$ be a graded locally finite
$k$-algebra such that $A_0$ is an arbitrary finite-dimensional algebra
satisfying some splitting condition. In this paper we develop a generalized
Koszul theory generalizing many classical results, and use it to classify
algebras stratified for all preorders.

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