Partition complexes, duality and integral tree representations

Robinson, Alan

doi:10.2140/agt.2004.4.943

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Partition complexes, duality and integral tree representations

Alan Robinson

Algebraic & Geometric Topology 4 (2004) 943–960

DOI: 10.2140/agt.2004.4.943

arXiv: math.CT/0410555

Abstract

We show that the poset of non-trivial partitions of ${1, 2, \dots, n}$ has a fundamental homology class with coefficients in a Lie superalgebra. Homological duality then rapidly yields a range of known results concerning the integral representations of the symmetric groups $Σ_{n}$ and $Σ_{n + 1}$ on the homology and cohomology of this partially-ordered set.

Keywords

partition complex, Lie superalgebra

Mathematical Subject Classification 2000

Primary: 05E25

Secondary: 17B60, 55P91

References

Forward citations

Publication

Received: 17 February 2004

Accepted: 21 September 2004

Published: 22 October 2004

Authors

Alan Robinson
Mathematics Institute University of Warwick Coventry CV4 7AL United Kingdom

Volume 4, issue 2 (2004)