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math.QA2015★ 7 cited
Singular vectors of super Virasoro algebra via Uglov symmetric functions
Shintarou Yanagida
We give a proof of the conjecture by Belavin, Bershtein and Tarnopolsky, which claims that a bosonization of singular vectors of super Virasoro algebra can be identified with…
math.QA2015★ 2 cited
Quantum toroidal algebras and motivic Hall algebras I. Hall algebras for singular elliptic curves
Shintarou Yanagida
We consider the motivic Hall algebra of coherent sheaves over an irreducible reduced projective curve of arithmetic genus . We introduce the composition subalgebra in the singul…