Lukas Katthän

most citedStanley depth and simplicial spanning trees

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2017

The Koszul homology algebra of the second Veronese is generated by the lowest strand

Aldo Conca, Lukas Katthän, Victor Reiner

We show that the Koszul homology algebra of the second Veronese subalgebra of a polynomial ring over a field of characteristic zero is generated, as an algebra, by the homology cla…

math.AC2014★ 1 cited

Stanley depth and simplicial spanning trees

Lukas Katthän

We show that for proving the Stanley conjecture, it is sufficient to consider a very special class of monomial ideals. These ideals (or rather their lcm lattices) are in bijection…

math.CO2014

The Stanley Depth in the Upper Half of the Koszul Complex

Lukas Katthän, Richard Sieg

Let $R = K [X_{1}, ..., X_{n}]$ be a polynomial ring over some field $K$ . In this paper, we prove that the $k$ -th syzygy module of the residue class field $K$ of $R$ has Stanley depth $…