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1991 AMS Mathematics a-permanents abelian group algebra AMS Mathematics Subject Appl arbitrary Aslam Noor automorphism bitriangular boundary coalgebras codimension coefficients compact complementarity problems complex compute consider convergence convex Corollary cyclic defined Definition denote discrete domain eigenvalues epimorphism equivalent exists finite fixed point follows function G-space given group G Hence Hilbert homomorphism hopfian horistological hypergroups implies induction infinite integers isomorphic Jacobi triple product knapsack graph l,oo Lemma Let G linear Macdonald identities manifold Math Mathematics Subject Classification matrix modules nilpotent groups non-negative nonlinear normal obtain one-relator operator orthogonal p-group positive Proof Proposition prove pure cycle quaternion random representation result ring satisfies Section sequence singular solution space spectral structure subgraph subgroup subset subspace Suppose tacnode tangent Theorem theory topological group unique University of Auckland variational inequalities vector vertex Volume 25 Weyl group Wiener-Hopf equations Zealand zero