MultilinearVerse

The MultilinearVerse is a dynamical portal unifying the rapidly growing literature on tensors. It aims to serve as a guide through more than one century of algebra, geometry and applied mathematics, and provide the community with a resource to rapidly look up facts and track different relevant references.

The project was born only recently and is heavily under development.

Learn more about the MultilinearVerse and add a contribution.

• Part 1: Introduction

  • Chapter 1: Preliminaries

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• Part 2: Geometry of Secant Varieties

  • Chapter 2: Secant varieties and Ranks

  • Chapter 3: Dimensions of Secant Varieties

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• Part 3: Apolarity Theory

  • Chapter 4: Classical apolarity theory

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• Part 4: Representation Theory

  • Chapter 5: Equations via representation theory

  • Chapter 6: Flattening methods

  • Chapter 7: Classification results

  • Chapter 8: Invariant theory

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• Part 5: Tensor Algorithms

  • Chapter 9: Algorithms for rank

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• Part 6: Optimization Theory

  • Chapter 10: Introduction

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• Part 7: Complexity Theory

  • Chapter 11: Algebraic complexity theory, p-families, complexity classes and tensors

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• Part 8: Quantum Physics

  • Chapter 12: Introduction

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• Part 9: Data Science

  • Chapter 13: Introduction

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