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Definition

For $k$ a field and $V$ a $k$-vector space, its determinant line is the 1-dimensional vector space

$\mathrm{det}V={\wedge }^{\mathrm{dim}V}V\phantom{\rule{thinmathspace}{0ex}}.$det V = \wedge^{dim V} V \,.
Created on May 10, 2011 13:37:09 by Urs Schreiber (131.251.141.156)