孪生弯曲函数、强正则Cayley图与Hurwitz-Radon理论
代数几何
2018-09-28 v3 组合数学
表示论
摘要
Clifford代数的实单项表示产生了两个弯曲函数序列。对于每个序列，相应的Cayley图是强正则图，且对应的强正则图参数序列一致。即使如此，两个序列中的相应图并非同构，除了前三种情况。这一非同构性的证明是Radon定理的一个简单推论。
引用
@article{arxiv.1504.02828,
title = {Degeneracy Loci Classes in $K$-theory - Determinantal and Pfaffian Formula -},
author = {Thomas Hudson and Takeshi Ikeda and Tomoo Matsumura and Hiroshi Naruse},
journal= {arXiv preprint arXiv:1504.02828},
year = {2018}
}
备注
This is a major update. In particular, we extended the results in arXiv:1602.04448 and included in this version. We modified the expositions in several places from the previous version