## Christian Krattenthaler

# Product formulae for trace generating functions for
semistandard tableaux of unusual shapes

### (5 pages)

**Abstract.**
Given a partition *\lambda*=(*\lambda*_{1},...,*\lambda*_{r}),
we show that the trace generating functions for semistandard
tableaux of shapes *\lambda*/(0,0,1,1,...) and
*\lambda*/(0,1,2,2,2,...) are both given by closed product
formulae.
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