Remote Access Representation Theory
Green Open Access

Representation Theory

ISSN 1088-4165



Regular functions of symplectic spherical nilpotent orbits and their quantizations

Author: Kayue Daniel Wong
Journal: Represent. Theory 19 (2015), 333-346
MSC (2010): Primary 17B08, 22E10
Published electronically: December 17, 2015
MathSciNet review: 3434893
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We study the ring of regular functions of classical spherical orbits $R(\mathcal {O})$ for $G = Sp(2n,\mathbb {C})$. In particular, treating $G$ as a real Lie group with maximal compact subgroup $K$, we focus on a quantization model of $\mathcal {O}$ when $\mathcal {O}$ is the nilpotent orbit $(2^{2p}1^{2q})$. With this model, we verify a conjecture by McGovern and another conjecture by Achar and Sommers related to the character formula of such orbits. Assuming the results in a preprint of Barbasch, we will also verify the Achar-Sommers conjecture for a larger class of nilpotent orbits.

References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 17B08, 22E10

Retrieve articles in all journals with MSC (2010): 17B08, 22E10

Additional Information

Kayue Daniel Wong
Affiliation: Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
MR Author ID: 1140325

Received by editor(s): June 13, 2015
Received by editor(s) in revised form: November 30, 2015
Published electronically: December 17, 2015
Article copyright: © Copyright 2015 American Mathematical Society