关于Kronecker箭图Grassmannian的基数
表示论
2009-09-25 v2
摘要
我们利用Ringel-Hall代数方法推导了与Kronecker箭图相关的有限域上某些Grassmannian基数的显式公式。通过这种方式，我们实现了Caldero和Zelevinsky关于这些Grassmannian欧拉示性数公式的量子化。我们还提出了一种递归算法，用于计算有限域上每个Kronecker箭图Grassmannian的基数。
引用
@article{arxiv.0903.1928,
title = {On the cardinalities of Kronecker quiver Grassmannians},
author = {Csaba Szántó},
journal= {arXiv preprint arXiv:0903.1928},
year = {2009}
}
备注
Major corrections and completions were made. We also present a recursive algorithm for computing the cardinality of every Kronecker quiver Grassmannian over a finite field