A new straightening algorithm of bracket algebra

Changpeng Shao, Hongbo Li · arXiv (Cornell University) · 2015

Straightening algorithm is always a main task in bracket algebra. And this is a very complicate procedure. Until now, some beautiful algorithms have been provided. White's implementation algorithms seem the most e?cient one. This paper is devoted to give another new algorithm as a byproduct of invariant division put forward in [9], which seems more suitable to straight high degree tableaux. The examples presented in section 5 show that this new algorithm is more e?cient then White's algorithm when the degree of tableaux is >3.

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