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Symmetries of an extended Hubbard Model

Bianca Cerchiai; Peter Schupp — 1997

Banach Center Publications

The Hamiltonian for an extended Hubbard model with phonons as introduced by A. Montorsi and M. Rasetti is considered on a D-dimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting $S U_{q} (2)$ holds as a true quantum symmetry, but only for D=1.

Statistics and quantum group symmetries

Gaetano Fiore; Peter Schupp — 1997

Banach Center Publications

Using 'twisted' realizations of the symmetric groups, we show that Bose and Fermi statistics are compatible with transformations generated by compact quantum groups of Drinfel'd type.

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