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Analysis of straightening formula

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  • Devadatta M. Kulkarni

Abstract

The straightening formula has been an essential part of a proof showing that the set of standard bitableaux (or the set of standard monomials in minors) gives a free basis for a polynomial ring in a matrix of indeterminates over a field. The straightening formula expresses a nonstandard bitableau as an integral linear cobmbination of standard bitableaux. In this paper we analyse the exchanges in the process of straightening a nonstandard pure tableau of depth two. We give precisely the number of steps required to straighten a given violation of a nonstandard tableau. We also characterise the violation which is eliminated in a single step.

Suggested Citation

  • Devadatta M. Kulkarni, 1988. "Analysis of straightening formula," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-7, January.
    • Handle: RePEc:hin:jijmms:353292
    DOI: 10.1155/S0161171288000298
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