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Invariants of the general linear group

  • Bernd Sturmfels
Part of the Texts and Monographs in Symbolic Computation book series (TEXTSMONOGR)

Abstract

This chapter deals with methods for computing the invariants of an arbitrary polynomial representation of the general linear group GL(C n). The main algorithm, to be presented in Sect. 4.6, is derived from Hilbert (1893). We will discuss Hilbert’s algorithm from the point of view of Gröbner bases theory. This chapter is less elementary than the previous three. While most of the presentation is self-contained, familiarity with basic notions of commutative algebra and representation theory will be assumed.

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Copyright information

© Springer-Verlag Wien 1993

Authors and Affiliations

  • Bernd Sturmfels
    • 1
  1. 1.Department of MathematicsCornell UniversityIthacaUSA

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