27 citations · 72 across the 16 of their papers we have counts for
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Generating functions of action on symmetric functions
Caleb Fernelius, Natasha Rozhkovskaya
We describe the action of the infinite-dimensional Lie algebra and its B-type analogue on Schur and Schur Q-functions, respectively, using formal distributions frame…
Lattice aggregations of boxes and symmetric functions
Natasha Rozhkovskaya
We introduce two lattice growth models: aggregation of -dimensional boxes and aggregation of partitions with parts. We describe properties of the models: the parameter set o…
Generating functions for symmetric and shifted symmetric functions
Naihuan Jing, Natasha Rozhkovskaya
We describe generating functions for several important families of classical symmetric functions and shifted Schur functions. The approach is originated from vertex operator realiz…
Vertex operators arising from Jacobi-Trudi identities
Naihuan Jing, Natasha Rozhkovskaya
We give an interpretation of the boson-fermion correspondence as a direct consequence of Jacobi-Trudi identity. This viewpoint enables us to construct from a generalized version of…
Sklyanin Determinant for Reflection Algebra
Natasha Rozhkovskaya
Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of the reflection algebra…