Kathlyn Dykes

activity

20152026

collaborators

4 papers

math.RT2026

Lower affine MV polytopes of rank 2

Kathlyn Dykes

When $G$ is a complex reductive algebraic group, MV polytopes are in bijection with the non-negative tropical points of the unipotent group of $G$ . In this paper, we prove a simila…

math.RT2024

Gelfand-Fuks cohomology of vector fields on algebraic varieties

Yuly Billig, Kathlyn Dykes

For an affine algebraic variety, we introduce algebraic Gelfand-Fuks cohomology of polynomial vector fields with coefficients in differentiable $A V$ -modules. Its complex is given b…

math.CO2023

MV polytopes and reduced double Bruhat cells

Kathlyn Dykes

When $G$ is a complex reductive algebraic group, MV polytopes are in bijection with the non-negative tropical points of the unipotent group of $G$ . By fixing $w$ from the Weyl grou…

math.RT2015

Length two extensions of modules for the Witt Algebra

Kathlyn Dykes

In this paper, we establish an explicit classification of length two extensions of tensor modules for the Witt algebra using the cohomology of the Witt algebra with coefficients in…