In the paper Johansson and Nordenstam (2006)  two expressions for the so called GUE minor kernel are presented, one in definition 1.2 and one in the the formulas (5.6) and (5.7). The expressions given in (5.6) and (5.7) are correct, but the expression in definition 1.2 of the paper has to be modified in the case $r > s$. The proof of the equality of the two expressions for the GUE minor kernel given in the paper was based on lemma 5.6 which is not correct since some terms in the expansion are missing. The correct expansion is given in lemma 1.2 below.
"Erratum to Eigenvalues of GUE Minors." Electron. J. Probab. 12 1048 - 1051, 2007. https://doi.org/10.1214/EJP.v12-816