9 citations · 20 across the 6 of their papers we have counts for
6 papers · 1 filter
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/…
Torsion table for the Lie algebra
Leon Lampret, Aleš Vavpetič
We study the Lie ring of all strictly upper-triangular matrices with entries in . Its complete homology for is computed.…
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 , where is the -th e…
(Co)Homology of Poset Lie Algebras
Leon Lampret, Aleš Vavpetič
We investigate the (co)homological properties of two classes of Lie algebras that are constructed from any finite poset: the solvable class and the nilpotent cl…
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…
(Co)Homology of Lie Algebras via Algebraic Morse Theory
Leon Lampret, Aleš Vavpetič
E. Sköldberg's Morse Theory from an Algebraic Viewpoint and M. Jöllenbeck's Algebraic Discrete Morse Theory and Applications to Commutative Algebra, which is the algebraic generali…