  In [Z.Tsuboi, Nucl. Phys. B 826 (2010) 399 [arXiv:0906.2039]], we proposed
Wronskian-like solutions of the T-system for [M,N]-hook of the general linear
superalgebra gl(M|N). We have generalized these Wronskian-like solutions to the
ones for the general T-hook, which is a union of [M1,N1]-hook and [M2,N2]-hook
(M=M1+M1, N=N1+N2). These solutions are related to Weyl-type supercharacter
formulas of infinite dimensional unitarizable modules of gl(M|N). Our solutions
also include a Wronskian-like solution discussed in [N.Gromov, V.Kazakov,
S.Leurent, Z.Tsuboi, JHEP 1101 (2011) 155 [arXiv:1010.2720]] in relation to the
AdS5/CFT4 spectral problem.
