19 citations · 201 across the 54 of their papers we have counts for
Showing math.RTShow all
3 papers · 1 filter
math.RT2011
The hyperdeterminant of 3 x 3 x 2 arrays, and the simplest invariant of 4 x 4 x 2 arrays
Murray R. Bremner
We use the representation theory of Lie algebras and computational linear algebra to obtain an explicit formula for the hyperdeterminant of a array: a homogen…
math.RT2011★ 7 cited
Cayley's hyperdeterminant: a combinatorial approach via representation theory
Murray R. Bremner, Mikelis G. Bickis, Mohsen Soltanifar
Cayley's hyperdeterminant is a homogeneous polynomial of degree 4 in the 8 entries of a 2 x 2 x 2 array. It is the simplest (nonconstant) polynomial which is invariant under change…
math.RT2011
A hyperdeterminant for 2 x 2 x 3 arrays
Murray R. Bremner
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 a…