2000 character limit reached
A hyperdeterminant for 2 x 2 x 3 arrays (1106.2988v1)
Published 15 Jun 2011 in math.RT, hep-th, math-ph, math.MP, and math.RA
Abstract: We use the representation theory of Lie algebras and computational linear algebra to determine the simplest nonconstant invariant polynomial in the entries of a general 2 x 2 x 3 array. This polynomial is homogeneous of degree 6 and has 66 terms with coefficients 1, -1, 2, -2 in the 12 indeterminates x_ijk where i,j = 1,2 and k = 1,2,3. This invariant can be regarded as a natural generalization of Cayley's hyperdeterminant for 2 x 2 x 2 arrays.