Gröbner Bases and Standard Monomial Theory

  • Arjeh M. Cohen
  • Richard H. Cushman
Part of the Progress in Mathematics book series (PM, volume 109)


For rings of polynomials on varieties corresponding to minuscule weight representations of Lie groups, we show how the standard monomial theory of Seshadri et al. can be used to compute Gröbner bases. This generalizes results of Sturmfels and White in which straightening has been interpreted as a normal form computation with respect to a Gröbner basis.


Lie groups minuscule weights straightening Gröbner bases 


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Copyright information

© Birkhäuser Boston 1993

Authors and Affiliations

  • Arjeh M. Cohen
    • 1
  • Richard H. Cushman
    • 1
  1. 1.Mathematics InstituteRijksuniversiteit UtrechtUtrechtThe Netherlands

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