Leon Lampret

activity

20152019

most citedChain complex reduction via fast digraph traversal

4 citations · 4 across the 2 of their papers we have counts for

collaborators

4 papers

math.AT2019★ 4 cited

Chain complex reduction via fast digraph traversal

Leon Lampret

Reducing a chain complex (whilst preserving its homotopy-type) using algebraic Morse theory gives the same end-result as Gaussian elimination, but AMT does it only on certain rows/…

math.AT2017

Torsion table for the Lie algebra $nil_{n}$

Leon Lampret, Aleš Vavpetič

We study the Lie ring $nil_{n}$ of all strictly upper-triangular $n \times n$ matrices with entries in $Z$ . Its complete homology for $n \leq 8$ is computed.…

math.AT2015

Hochschild (Co)Homology of Exterior Algebras using AMT

Leon Lampret, Aleš Vavpetič

In 'Hochschild (co)homology of exterior algebras' (Han, Xu, 2007), the authors computed the additive and multiplicative structure of $H H^{*} (A; A)$ , where $A$ is the $n$ -th e…

math.AT2015

Tensor, Symmetric, Exterior, and Other Powers of Persistence Modules

Leon Lampret

We reformulate the persistent (co)homology of simplicial filtrations, viewed from a more algebraic setting, namely as the (co)homology of a chain complex of graded modules over pol…

Chain complex reduction via fast digraph traversal

Torsion table for the Lie algebra niln​

Hochschild (Co)Homology of Exterior Algebras using AMT

Tensor, Symmetric, Exterior, and Other Powers of Persistence Modules

Torsion table for the Lie algebra $nil_{n}$