经典群的Pieri分解
交换代数
2012-05-29 v5 组合数学
表示论
摘要
我们推广了Eisenbud、Fløystad和Weyman关于一般线性群上等变极小自由分解的构造，并在正交群和辛群上构造了等变分解。我们还猜想并给出了关于Betti表的Boij-Söderberg分解的等变类比存在性的一些部分结果，该分解在非等变情形下由Eisenbud和Schreyer证明存在。文中给出了许多例子。
引用
@article{arxiv.0907.4505,
title = {Pieri resolutions for classical groups},
author = {Steven V Sam and Jerzy Weyman},
journal= {arXiv preprint arXiv:0907.4505},
year = {2012}
}
备注
40 pages, no figures; v2: corrections to sections 2.2, 3.1, 3.3, and some typos; v3: important corrections to sections 2.2, 2.3 and Prop. 4.9 added, plus other minor corrections; v4: added assumptions to Theorem 3.6 and updated its proof; v5: Older versions misrepresented Peter Olver's results. See "New in this version" at the end of the introduction for more details