1 Introduction.- 2 Valiant's Algebraic Model of NP-Completeness.- 3 Some Complete Families of Polynomials.- 4 Cook's versus Valiant's Hypothesis.- 5 The Structure of Valiant's Complexity Classes.- 6 Fast Evaluation of Representations of General Linear Groups.- 7 The Complexity of Immanants.- 8 Separation Results and Future Directions.- References.- List of Notation.
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