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math.RA2010
Using Hook Schur Functions to Compute Matrix Cocharacters
Allan Berele
We use hook Schur functions to compute trace cocharacters of matrices in hooks. As an example we compute the cocharacters of 3 x 3 matrices in the one by two hook.
math.RA2010
Computing Super Matrix Invariants
Allan Berele
In [Trace identities and -graded invariants, {\it Trans. Amer. Math. Soc. \bf309} (1988), 581--589] we generalized the first and second fundamental theorems of in…
math.CO2010
Asymptotics of Young tableaux in the hook
A. Berele, A. Regev
The asymptotics of the " hook" sums (see~\eqref{the.sums.1}) were calculated in~\cite{berele}. It was recently realized that in~\cite[Section 7]{be…