Department of Mathematics2024-11-0920020550-321310.1016/S0550-3213(01)00630-72-s2.0-0037060899https://hdl.handle.net/20.500.14288/3246We construct a realization of the algebra of the Z(3)-graded topological symmetry of type (1, 1, 1) in terms of a pair of operators D-1 : H-1 --> H-2, D-2 : H-2 --> H-3 satisfying [D1D1dagger, (D2D2)-D-dagger] = 0. We show that the sequence of the restriction of these operators to the zero-energy subspace forms a complex and establish the equality of the corresponding topological invariants with the analytic indices of these operators. (C) 2002 Published by Elsevier Science B.V.pdfPhysicsJournal Article1873-1562https://doi.org/10.1016/S0550-3213(01)00630-7174168700005N/ANOIR00544