A. Tchernev

activity

20022019

most citedDeterminantal hypersurfaces and representations of Coxeter groups

8 citations · 23 across the 11 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.RT2018★ 8 cited

Determinantal hypersurfaces and representations of Coxeter groups

Zeljko Cuckovic, Michael Stessin, Alexandre Tchernev

Given a finite generating set $T = {g_{0}, \dots, g_{n}}$ of a group $G$ , and a representation $ρ$ of $G$ on a Hilbert space $V$ , we investigate how the geometry of the set $D(T,ρ)=\{ […

math.AC2018

Torsion Freeness of Schur Modules

Muberra Allahverdi, Alexandre Tchernev

Let $R$ be a Noetherian commutative ring and $M$ an $R$ -module with $p d_{R} M \leq 1$ that has rank. Necessary and sufficient conditions were provided by Lebelt for an e…