范畴作用的导出等价
表示论
2012-04-11 v2
摘要
设 为交换环， 为范畴。作为对带有群（伪）作用的 -范畴的推广，我们考虑一族带有 的（伪、lax 或 oplax）作用的 -范畴，即从 到小 -范畴的 2-范畴的 oplax 函子。我们研究了这些 oplax 函子的导出等价，并为它们建立了一个 Morita 型定理。这为研究这些 oplax 函子的 Grothendieck 构造的导出等价奠定了基础。
引用
@article{arxiv.1111.2239,
title = {Derived equivalences of actions of a category},
author = {Hideto Asashiba},
journal= {arXiv preprint arXiv:1111.2239},
year = {2012}
}
备注
23 pages, ver 2: A construction of oplax functors using a comonad is added by generalizing a tiny example that should be corrected either by putting a relation\beta'\alpha'= \id_{x'} on X(2) or changing the definition of X(a) to "X(a)(z):= y' for z=x,y and X(a)(\gamma):= \id_{y'} for \gamma = \id_x, \id_y, \alpha, \beta" in Section 2. Some references were added