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arXiv · 1711.05619

An improved lower bound for the maximal length of a multivector

Patrick Cassam-Chenaï
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Abstract

A new lower bound for the maximal length of a multivector is obtained. It is much closer to the best known upper bound than previously reported lower bound estimates. The maximal length appears to be unexpectedly large for $n$-vectors, with n>2, since the few exactly known values seem to grow linearly with vector space dimension, whereas the new lower bound has a polynomial order equal to n-1 like the best known upper bound. This result has implications for quantum chemistry.

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Patrick Cassam-Chenaï. 2018-04-11. An improved lower bound for the maximal length of a multivector. https://arxiv.org/abs/1711.05619

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