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Let Aₙ be the Chekhov–Shapiro quiver attached to the symplectic groupoid of unipotent upper-triangular n × n matrices; it has n(n-1)/2 vertices, organised into ⌊ n/2 ⌋ main cycles. For even n = 2m, Choi has proved that the word ω₀ = (τ₁τ₂…τₘ)ᵐ in the cycle…

Ampagouni, Mason and Mertens single out a class of holomorphic vertex operator algebras V=ℂ1oplus V₁oplus V₂oplus… that they call balanced, for which the Virasoro vectors of V and of the subalgebra generated by V₁ coincide when the central charge is 32 or 4…