Abstract
The double centralizing theorem between the action of the symmetric group Sn and the action of the general linear group on the tensor space Tn(W) was obtained by Schur. Here we obtain a double centralizing theorem when Sn is replaced by the wreath product of a finite group G and the alternating group An.
2010 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgements
The author would like to thank A. Regev for posing this problem and useful discussions and the Weizmann Institute of Science, where the main part of this research was done, for its hospitality.