Quantization of special symplectic nilpotent orbits and normality of their closures

JOURNAL OF ALGEBRA

卷:462

Article

Wong, Kayue Daniel¹ 

[1] Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China

关键词: Nilpotent orbits;    Orbit method;    Unipotent representations;   

DOI  :  10.1016/j.jalgebra.2016.04.034

来源: Elsevier

【 摘 要 】

We study the regular function ring R(O) for all symplectic nilpotent orbits O with even column sizes. We begin by recalling the quantization model for all such orbits by Barbasch using unipotent representations. With this model, we express the multiplicities of fundamental representations appearing in R(O) by a parabolically induced module. Finally, we will use this formula to give a criterion on the normality of the Zariski closure (O) over bar of O. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free