Composition factors of a tensor product of several symmetric powers
 
 
Description:  We consider the problem of determining which irreducible polynomial modules occur as a composition factor of an m-fold tensor product of symmetric powers of the natural module for the general linear group. The case m=1 was analysed by Krop and Sullivan and they obtained (independently) a theorem expressing such an irreducible module as a twisted tensor product of composition factors of a truncated symmetric product. We give an explicit description of the weights labelling composition factors of an m-fold tensor power of truncated symmetric powers, for any integer m, and give an analogue of the Krop-Sullivan theorem in case m=2. This is joint work with H. Geranios.
Date:  2014-07-16
Start Time:   14:30
Speaker:  Stephen Donkin (Univ. of York, UK)
Institution:  University of York, UK
Place:  Room 5.5, DMat
Research Groups: -Algebra and Combinatorics
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