Irreducible components of two-row Springer fibers for all classical types

Autor:	Im, Mee Seong, Lai, Chun-Ju, Wilbert, Arik
Rok vydání:	2020
Předmět:	Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	We give an explicit description of the irreducible components of two-row Springer fibers for all classical types using cup diagrams. Cup diagrams can be used to label the irreducible components of two-row Springer fibers. Given a cup diagram, we explicitly write down all flags contained in the component associated to the cup diagram. This generalizes results by Stroppel--Webster and Fung to all classical types. Comment: 15 pages. To appear in Proc. Amer. Math. Soc. Some of the results contained were originally available in the unpublished manuscript arXiv:1910.03010 via Nakajima quiver varieties. We would like to thank Dongkwan Kim for pointing out that it can be obtained more efficiently without using the quiver variety. It has therefore been split off from the original preprint
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.13138 Zobrazit plný text záznamu View this record from Arxiv