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The unifying theme of this collection of papers by the very creative Russian mathematician I. M. Gelfand and his co-workers is the representation theory of groups and lattices. Two of the papers were inspired by application to theoretical physics; the others are pure mathematics though all the papers will interest mathematicians at quite opposite ends of the subject. Dr. G. Segal and Professor C-M. Ringel have written introductions to the papers which explain the background, put them in perspective and make them accessible to those with no specialist knowledge in the area.

Representations of groups --- Representations of algebras --- Representations of algebras. --- Representations of groups. --- Group theory --- Représentations de groupes --- Représentations d'algèbres

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Algebraic topology --- Algebra --- Algebra, Boolean --- Functional analysis --- Representations of algebras --- Topology --- Algèbre --- Algèbre de Boole --- Analyse fonctionnelle --- Représentations d'algèbres --- Topologie --- 515.122.4 --- 512.56 --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Mathematics --- Mathematical analysis --- Topological properties of spaces with supplementary structure and topological transformation groups --- Lattices, including Boolean rings and algebras --- Algebra, Boolean. --- Algebra. --- Functional analysis. --- Representations of algebras. --- Topology. --- 512.56 Lattices, including Boolean rings and algebras --- 515.122.4 Topological properties of spaces with supplementary structure and topological transformation groups --- Algèbre --- Algèbre de Boole --- Représentations d'algèbres --- Boolean algebra --- Boole's algebra --- Algebraic logic --- Boole, Algèbre de --- Boole, Algèbre de --- Boole, Algèbre de. --- Représentations d'algèbres. --- Topologie. --- Algèbre. --- Analyse fonctionnelle.