对“(S_{2n},B_n)的Hecke代数的生成元”的勘误
Corrigendum to "Generators of the Hecke algebra of (S_{2n},B_n)"
摘要:
在\cite{AC12}中,我们观察到Gel'fand对$(S_{2n},B_n)$的Hecke代数的结构常数在$n$中是多项式。奥马尔·图特(Omar Tout)提请注意,其证明中缺少一个论点。在这里,我们通过进一步分析超八面体群的各种作用来提供缺失论证的细节。
英文摘要:
In \cite{AC12}, among other things, we observed that the structure constants of the Hecke algebra of the Gel'fand pair $(S_{2n},B_n)$ are polynomials in $n$. It is brought to attention by Omar Tout that there is a missing argument in its proof. Here we provide the details of the missing argument by further analyzing various actions of the hyperoctahedral group.
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。