9 citations · 19 across the 10 of their papers we have counts for
9 papers · 1 filter
Specializing Koornwinder polynomials to Macdonald polynomials of type and
Kohei Yamaguchi, Shintarou Yanagida
We study the specializations of parameters in Koornwinder polynomials to obtain Macdonald polynomials associated to the subsystems of the affine root system of type $(C_n^\vee,C_n)…
A study of symmetric functions via derived Hall algebra
Ryosuke Shimoji, Shintarou Yanagida
We use derived Hall algebra of the category of nilpotent representations of Jordan quiver to reconstruct the theory of symmetric functions, focusing on Hall-Littlewood symmetric fu…
Operadic semi-infinite homology
Shintarou Yanagida
We propose the notion of semi-infinite homology for algebras over operads using the relative homology theory for operadic algebras.
Elliptic Hall algebra on
Shintarou Yanagida
We construct Hall algebra of elliptic curve over using the theory of monoidal scheme due to Deitmar and the theory of Hall algebra for monoidal representations due t…
Deformation quantization of vertex Poisson algebras
Shintarou Yanagida
We introduce dg Lie algebras controlling the deformations of vertex algebras and vertex Poisson algebras, utilizing the notion of operadic dg Lie algebra and the theory of chiral a…
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…