Abstract and Applied Analysis
Volume 3 (1998), Issue 3-4, Pages 401-409

Brouwer degree, equivariant maps and tensor powers

Z. Balanov,1,2 W. Krawcewicz,2 and A. Kushkuley3

1Department of Mathematics and Computer Science, Bar Ilan University, Ramat-Gan 52900, Israel
2Department of Mathematical Sciences, University of Alberta, Edmonton T6G 2G1, Alberta, Canada
36 Carriage Drive, Acton 01720, MA, USA

Received 2 March 1998

Copyright © 1998 Z. Balanov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A construction of equivariant maps based on factorization through symmetric powers of a faithful representation is presented together with several examples of related equivariant maps. Applications to differential equations are also discussed.