Vol. 108, No. 2, 1983

Recent Issues
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Vol. 317: 1  2
Vol. 316: 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
Natural transformations of tensor-products of representation-functors. I. Combinatorial preliminaries

Jacob Towber

Vol. 108 (1983), No. 2, 465–478
Abstract

The present paper furnishes some combinatorial preliminaries towards a study of natural transformations between tensor products of shape functors α and co-shape functors α. The main result is the construction of an explicit basis for the module defined by (1) below; an apparently new result used for this purpose, which may be of some independent interest, is a ‘column-free’ expression for the Young idempotent NPN (in Young’s terminology) associated with a partition, given by 1.2 below.

Mathematical Subject Classification 2000
Primary: 15A69
Secondary: 05A17, 20C30, 16A64
Milestones
Received: 6 June 1981
Published: 1 October 1983
Authors
Jacob Towber