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We rewrite various lattice Hamiltonian in condensed matter physics in termsof U(2/2) operators that we introduce. In this representation the symmetrystructure of the models becomes clear. Especially, the Heisenberg, thesupersymmetric t-J and a newly proposed high-$T_c$ superconducting Hamiltonianreduce to the same form $H=$$-t\sum_{<jk>}\sum_{ac}X^{ac}_j X^{ca}_k(-1)^{F(c)}$. This representation also gives us a systematic way of searchingfor the symmetries of the system.Comment: 13 pages, LatTeX, CCNY-HEP-92/

VARIOUS CONDENSED MATTER HAMILTONIANS IN TERMS OF U(2/2) OPERATORS AND THEIR SYMMETRY STRUCTURES