The gamma filtrations for the spin groups

IF 0.4 4区 数学 Q4 MATHEMATICS
N. Yagita
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引用次数: 1

Abstract

Let $G$ be a compact Lie group and $T$ its maximal torus. In this paper, we try to compute $gr_{\gamma}^*(G/T)$ the graded ring associated with the gamma filtration of the complex $K$-theory $K^0(G/T)$ for $G=Spin(n)$. In particular, we give a counterexample for a conjecture by Karpenko when $G=Spin(17)$. The arguments for $E_7$ in $\S 11$ of the old version were not correct, and they are deleted in this version.
自旋群的伽玛滤波
设$G$是紧致李群,$T$是它的最大环面。在本文中,我们试图计算$G=Spin(n)$的复数$K$-理论$K^0(G/T)$的伽玛滤波相关的分次环$gr_。特别地,我们给出了Karpenko猜想的反例,当$G=Spin(17)$时。旧版本的$\S 11$中$E_7$的参数不正确,因此在该版本中已删除。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
16
审稿时长
>12 weeks
期刊介绍: Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.
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