An improved lower bound for the maximal length of a multivector

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 only linearly with vector space dimension, whereas the new lower bound grows at power n - 1 like the best known upper bound. This result has implications in quantum chemistry for the compression of information contained in an electronic wave function.