1 citations · 1 across the 3 of their papers we have counts for
9 papers
Intersections of Deligne--Lusztig varieties and Springer fibres
Zhe Chen
In this paper we prove a direct geometric relation between Deligne--Lusztig varieties and Springer fibres in type : For any rational unipotent element, the Springer fib…
Twisting operators and centralisers of Lie type groups over local rings
Zhe Chen
We extend the classical result asserting that the twisting operator preserves certain Deligne--Lusztig character values for truncated formal power series; along the way we discuss…
Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras
Zhe Chen, Ian Marquette, Yao-Zhong Zhang
We present a new method for constructing -dimensional minimally superintegrable systems based on block coordinate separation of variables. We give two new families of superinteg…
Flags and orbits of connected reductive groups over local rings
Zhe Chen
We prove that generic higher Deligne-Lusztig representations over truncated formal power series are non-nilpotent, when the parameters are non-trivial on the biggest reduction kern…
A note on cusp forms and representations of
Zhe Chen
Cusp forms are certain holomorphic functions defined on the upper half-plane, and the space of cusp forms for the principal congruence subgroup , a prime, is acted by $\m…
Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras
Zhe Chen, Ian Marquette, Yao-Zhong Zhang
We present a useful proposition for discovering extended Laplace-Runge-Lentz vectors of certain quantum mechanical systems. We propose a new family of superintegrable systems and c…