Partial flag varieties and preprojective algebras
表示论
2019-03-05 v3 代数几何
摘要
Let L be a preprojective algebra of Dynkin type, and let G be the corresponding complex semisimple simply connected algebraic group. We study rigid modules in subcategories sub(Q) for Q an injective L-module, and we introduce a mutation operation between complete rigid modules in sub(Q). This yields cluster algebra structures on the coordinate rings of the partial flag varieties attached to G.
引用
@article{arxiv.math/0609138,
title = {Partial flag varieties and preprojective algebras},
author = {Christof Geiss and Bernard Leclerc and Jan Schröer},
journal= {arXiv preprint arXiv:math/0609138},
year = {2019}
}
备注
42 pages, 12 figures, 4 tables. Version 3 : minor corrections and one reference added. Final version to appear in Annales de l'Institut Fourier