Analysis of straightening formula

Devadatta M. Kulkarni

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-7

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.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:353292

DOI: 10.1155/S0161171288000298

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