|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Local normal forms
for multiplicity free $U(n)$ actions on coadjoint orbits
Jeremy Lane |
|
Vol. 309 (2020), No. 2, 401–419
|
Abstract |
|
Actions of on coadjoint orbits via embeddings of into are an important family of examples of multiplicity free spaces. They are related to Gelfand–Zeitlin completely integrable systems and multiplicity free branching rules in representation theory. This paper computes the Hamiltonian local normal forms of all such actions, at arbitrary points, in arbitrary coadjoint orbits. The results are described using combinatorics of interlacing patterns; gadgets that describe the associated Kirwan polytopes. |
PDF Access Denied
We have not been able to recognize your IP address
3.136.97.64
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
coadjoint orbits, multiplicity free spaces, local normal
form, Gelfand–Zeitlin, integrable systems
|
Mathematical Subject Classification 2010
Primary: 53D20
Secondary: 14M27, 37J35
|
Milestones
Received: 21 February 2020
Revised: 1 October 2020
Accepted: 8 October 2020
Published: 14 January 2021
|
Authors |
| Jeremy Lane | |
| Department of Mathematics McMaster University Hamilton, ON Canada |
|
