This is a tutorial on invariant theory in OSCAR. We begin by introducing some of the basic notions and results of invariant theory in their historical context. Then we discuss relevant algorithms and show them at work. Finally, we describe a quite recent application of invariant theory to computing the Cox ring of a linear quotient.

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Invariant Theory

  • Wolfram Decker,
  • Lakshmi Ramesh,
  • Johannes Schmitt

摘要

This is a tutorial on invariant theory in OSCAR. We begin by introducing some of the basic notions and results of invariant theory in their historical context. Then we discuss relevant algorithms and show them at work. Finally, we describe a quite recent application of invariant theory to computing the Cox ring of a linear quotient.