Higher Symmetries in Condensed Matter Physics

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We discuss some applications of higher symmetry groups to condensed matter systems. We give special attention to the groups SO(n) (n = 4, 5, 6, 8) in the two-dimensional Hubbard model and its generalizations, which model the high T_c cuprate superconductors.
8 pages, 2 eps figures. Based on a talk by M. T. Vaughn at PASCOS98, Northeastern University, Boston, March 1988

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