1 citations · 1 across the 4 of their papers we have counts for
5 papers
Virasoro extensions of generalized Kac-Moody algebras
Vladyslav Zveryk
Borcherds-Kac-Moody (BKM) Lie algebras are constructed by combining a number of -s and -dimensional Heisenberg algebras in a certain way, generalizing the celeb…
Graphs of Hecke operators in mixed ramification
Rudrendra Kashyap, Vladyslav Zveryk
We study Hecke operators on moduli spaces of ramified -bundles using the combinatorial language of Hecke graphs. We introduce a general notion of -ramification in th…
Eigenforms and graphs of Hecke operators with wild ramification
Rudrendra Kashyap, Vladyslav Zveryk
Hecke operators on moduli of bundles over a global function field become substantially more complicated in the presence of ramification. We show that far enough in the Harder-Naras…
Stabilization of Kac polynomials along root strings
Vladyslav Zveryk
We study the stabilization behavior of cohomology groups associated with moduli spaces of quiver representations for a fixed quiver . Under mild conditions on a dimension vector…
Dynkin automorphism actions on Gaudin algebras
Vladyslav Zveryk
We study the action of Dynkin diagram automorphisms on generalized Gaudin algebras, focusing in particular on the big Gaudin algebra $\mathcal{B}(\mathfrak{g}) \subset (U(\math…