Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583757 | Journal of Algebra | 2016 | 17 Pages |
Abstract
We study the regular function ring R(O)R(O) for all symplectic nilpotent orbits OO 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)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‾ of OO.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kayue Daniel Wong,