Showing math.RTShow all
3 papers · 1 filter
math.RT2026
Lower affine MV polytopes of rank 2
Kathlyn Dykes
When is a complex reductive algebraic group, MV polytopes are in bijection with the non-negative tropical points of the unipotent group of . 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 -modules. Its complex is given b…
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…