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math.RT2026
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…
math.RT2025
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…
math.RT2023
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…