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Introduction Synopsis Notation Guide Chapter 1.The Superalgebra Super[A] 0.Introduction 1.Definitions 2.Construction of the Superalgebra Super[A] 3.Tensor Products 4.The Coproduct ¡÷ 5.The Coassociative Law Chapter 2.Laplace Pairings 0.Introduction 1.The Fourfold Algebra 2.The Laplace Pairing 3.Examples 4.The Tableau of Two Words Chapter 3.The Standard Basis Theorem 0.Introduction 1.Definitions,Statement of Theorem 2.Spanning 3.A Bilinear Z-valued Form 4.Gale-Ryser Interpolating Matrices 5.Proof of Theorem 8,(iv) Chapter 4.Invariant Theory 0.Introduction 1.Definitions 2.The Action of GLn(K)on Super[L|P] 3.The Umbral Linear Functional 4.The First Fundamental Theorem 5.Covariants 6.The Classical Groups Chapter 5.Examples 1.Skew-Symmetric Tensors 2.The Meet 3.Covariants 4.Examples of Invariants 5.Examples of Covariants References Index