An improved lower bound for the maximal length of a multivector

Patrick Cassam-Chenaï (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

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.

Domaines: Anneaux et algèbres [math.RA]; Géométrie algébrique [math.AG]; Chimie théorique et/ou physique

Patrick Cassam-Chenaï. An improved lower bound for the maximal length of a multivector. Journal of Mathematical Chemistry, 2018, ⟨10.1007/s10910-018-0947-9⟩. ⟨hal-01635547v2⟩