Triangular Products of Group Representations and Their Applications

1. Triangular products.- 1. Preliminaries.- 2. The definition and basic properties of triangular products.- 3. The Embedding Theorem. Connections with closure operations.- 4. Generalized triangular products.- 5. Isomorphisms and automorphisms of triangular products.- 6. Identities of triangular products.- 2. Applications.- 7. Identities of triangular matrix groups and their canonical representations.- 8. Augmentation powers and dimension subgroups.- 9. The semigroup of varieties of group representations.- 10. The semigroups of radical classes and prevarieties of group representations.- 11. Infinite products of radical classes and prevarieties.- 12. Invariant subspaces in representations.- References.