7 citations · 13 across the 7 of their papers we have counts for
8 papers
Superintegrability of stratified symplectic spaces
Zhuo Chen, Kai Jiang, Nicolai Reshetikhin +1
We define the notion of superintegrability of a Hamiltonian system on a stratified symplectic space. We focus on spin Calogero-Moser-Sutherland (sCMS) systems, where the phase spac…
On deformation quantizations of symplectic supervarieties
Husileng Xiao
We classify deformation quantizations of the symplectic supervarieties that are smooth and admissible. This generalizes the corresponding result of Bezrukavnikov and Kaledin to the…
On finite dimensional representations of finite W-superalgebras
Husileng Xiao
Let be a basic Lie superalgebra, (resp.) be the finite W-(resp.super-) algebras constructe…
On the Premet conjecture for finite W-superalgebras
Husileng Xiao
Let be the map in sense of the Losev, which sends the set of two sided ideals of a finite W-algebras to that of the universal enveloping algebra of corresponding Lie al…
Equivariant K-theory approach to -quantum groups
Zhaobing Fan, Haitao Ma, Husileng Xiao
Various constructions for quantum groups have been generalized to -quantum groups. Such generalization is called -program. In this paper, we fill one of parts in th…
Super formal Daboux-Weinstein theorem and finite W superalgebra
Bin Shu, Husileng Xiao
Let $\vvv=\vvv_{\bar{0}}+\vvv_{\bar{1}}$ be a -graded (super) vector space with an even -action and $χ\in \vvv_{\bar{0}}^{*}$ be a fixed point of…
Vust's theorem and higher level Schur-Weyl duality for types B, C and D
Li Luo, Husileng Xiao
Let be a complex linear algebraic group, $\mathfrak{g}=\Lie(G)$ its Lie algebra and a nilpotent element. Vust's theorem says that in case of $G=\GL(V)$, the…
Normality of Orthogonal and Sympletic Nilpotent Orbit Closures in Positive Characteristic
Husileng Xiao, Bin Shu
In this note we investigate the normality of closures of orthogonal and symplectic nilpotent orbits in positive characteristic. We prove that the closure of such a nilpotent orbit…