分段遗传代数的拓扑不变量
表示论
2011-01-20 v4
摘要
我们研究分段代数的Galois覆盖，特别是它们在导出等价下的行为。在一个当该代数导出等价于遗传代数时即满足的技术性假设下，我们证明存在一个泛Galois覆盖，其自同构群是自由的且只依赖于该代数的导出范畴。作为推论，我们证明该代数是单连通的当且仅当它的第一个Hochschild上同调消失。
引用
@article{arxiv.math/0702457,
title = {Topological invariants of piecewise hereditary algebras},
author = {Patrick Le Meur},
journal= {arXiv preprint arXiv:math/0702457},
year = {2011}
}
备注
The hypotheses of the main theorem were modified: The next now deals mainly with piecewise hereditary algebras which are derived equivalent to a hereditary algebra (instead of all piecewise hereditary algebras in the previous version)