62 citations · 222 across the 34 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
cs.CC2014★ 7 cited
Binary Determinantal Complexity
Jesko Hüttenhain, Christian Ikenmeyer
We prove that for writing the 3 by 3 permanent polynomial as a determinant of a matrix consisting only of zeros, ones, and variables as entries, a 7 by 7 matrix is required. Our pr…
math.RT2014
The Saxl Conjecture and the Dominance Order
Christian Ikenmeyer
In 2012 Jan Saxl conjectured that all irreducible representations of the symmetric group occur in the decomposition of the tensor square of the irreducible representation correspon…
math.AG2014
16,051 formulas for Ottaviani's invariant of cubic threefolds
Abdelmalek Abdesselam, Christian Ikenmeyer, Gordon Royle
We provide explicit combinatorial formulas for Ottaviani's degree 15 invariant which detects cubics in 5 variables that are sums of 7 cubes. Our approach is based on the chromatic…