Vol. 319, No. 1, 2022

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
This article is available for purchase or by subscription. See below.
Dirac cohomology and orthogonality relations for weight modules

Jing-Song Huang and Wei Xiao

Vol. 319 (2022), No. 1, 129–152
Abstract

The Schur orthogonality relations for finite-dimensional representations are generalized to weight modules of complex reductive Lie algebras by establishing the equality of the Euler–Poincaré pairing and the spinor pairing. We also show how to calculate these pairings by using Dirac cohomology.

PDF Access Denied

We have not been able to recognize your IP address 3.239.11.178 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
Dirac cohomology, weight module, Euler–Poincaré pairing, spinor pairing
Mathematical Subject Classification
Primary: 17B10
Milestones
Received: 16 March 2022
Revised: 27 May 2022
Accepted: 4 June 2022
Published: 28 August 2022
Authors
Jing-Song Huang
School of Science and Engineering
Chinese University of Hong Kong
Shenzhen
China
Wei Xiao
College of Mathematics and Statistics
Shenzhen Key Laboratory of Advanced Machine Learning and Applications
Shenzhen University
Shenzhen
China