论文标题
关于$ gl的curtis同构的显式计算（n，\ mathbb {f} _q）$
On explicit computation of Curtis homomorphisms for $GL(n,\mathbb{F}_q)$
论文作者
论文摘要
在本说明中，我们给出了某些类型的柯蒂斯同构的明确计算，并用gelfand-tsetlin图来解释它们。也就是说，这种解释是从Gelfand-tsetlin公式开始的$ gl（N，\ Mathbb {f} _Q）$ - Whittaker通过在ARXIV中利用该方法的函数与主体系列表示相关的功能：0705.2886 $ gl（N，\ Mathbb {$} $}）$ - WHITTARK $ - WHITTARK $ - WHITTAKER函数。 Whittaker功能的明确计算基于计算$ gl（n，\ mathbb {f} _q）$中某些元素的高斯 - bruhat分解。
In this note we give explicit computations of certain types of Curtis homomorphisms and interpret them in terms of Gelfand-Tsetlin diagrams. Namely, this interpretation follows from Gelfand-Tsetlin formulas for the $GL(n,\mathbb{F}_q)$-Whittaker functions associated with principal series representations via exploiting the method in arXiv:0705.2886 for $GL(n,\mathbb{$})$-Whittaker functions. The explicit computations of Whittaker functions are based on computing the Gauss-Bruhat decomposition for certain elements in $GL(n,\mathbb{F}_q)$.
