Summary: AAECC 7, 53-57 (1996)
Invariants of S4and the Shape of Sets of Vectors
Helmer Aslaksen 1, Shih-Ping Chan2, Tor Gulliksen3
1 Department of Mathematics, National University of Singapore, Singapore 0511, Republic of
Singapore, e-mail: firstname.lastname@example.org
z Department of Mathematics, National University of Singapore, Singapore 0511, Republic of
Singapore, e-mail: email@example.com
3 Department of Mathematics, University ofOslo, P.O. Box 1053,Blindern, 0316Oslo, Norway,
Received October 7, 1993;revised version November 28, 1994
Abstract. We study a representation of S, that is related to the shape of sets of
vectors in ~". We want to determine the invariants of this representation, and obtain
a complete description for the case of S,.
Keywords: Invariants of finite groups, Shape of sets of vectors.
When studying the shape of a set of n vectors in W", we are led to consider the