将Rost不变量限制在中心
Restricting the Rost Invariant to the Center
摘要:
对于简单的单连通的经典型代数群,Merkurjev,Parimala和Tavel给出了一个公式,用于限制Rost不变量到从群中心导出的torsors。我们通过证明例外群的公式来完成他们的结果。我们的方法有些不同,并恢复他们的公式为典型群。
英文摘要:
For simple simply connected algebraic groups of classical type, Merkurjev, Parimala, and Tignol gave a formula for the restriction of the Rost invariant to torsors induced from the center of the group. We complete their results by proving formulas for exceptional groups. Our method is somewhat different and recovers also their formula for classical groups.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。