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math.RT2021★ 1 cited
On enhanced reductive groups (II): Finiteness of nilpotent orbits under enhanced group action and their closures
Bin Shu, Yunpeng Xue, Yufeng Yao
This is a sequel to \cite{osy} and \cite{sxy}. Associated with $G:=\GL_n$ and its rational representation over an algebraically closed filed $\bk$, we define an enhanced a…
math.RT2020★ 2 cited
On enhanced reductive groups (I): Parabolic Schur algebras and the dualities related to degenerate double Hecke algebras
Bin Shu, Yunpeng Xue, Yufeng Yao
An enhanced algebraic group $\uG$ of $G=\GL(V)$ over $\bbc$ is a product variety $\GL(V)\times V$, endowed with an enhanced cross product. Associated with a natural tensor represen…