13 citations · 24 across the 12 of their papers we have counts for
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A spin analog of the plethystic Murnaghan-Nakayama rule
Yue Cao, Naihuan Jing, Ning Liu
As a spin analog of the plethystic Murnaghan-Nakayama rule for Schur functions, the plethystic Murnaghan-Nakayama rule for Schur -functions is established with the help of the v…
Irreducible characters and bitrace for the -rook monoid
Naihuan Jing, Yu Wu, Ning Liu
This paper studies irreducible characters of the -rook monoid algebra using the vertex algebraic method. Based on the Frobenius formula for , a new iterative ch…
A multiparametric Murnaghan-Nakayama rule for Macdonald polynomials
Naihuan Jing, Ning Liu
We introduce a new family of operators as multi-parameter deformation of the one-row Macdonald polynomials. The matrix coefficients of these operators acting on the space of symmet…
Q-Kostka polynomials and spin Green polynomials
Anguo Jiang, Naihuan Jing, Ning Liu
We study the -Kostka polynomials by the vertex operator realization of the -Hall-Littlewood functions and derive new formulae for . In parti…
Spin Kostka polynomials and vertex operators
Naihuan Jing, Ning Liu
An algebraic iterative formula for the spin Kostka-Foulkes polynomial is given using vertex operator realizations of Hall-Littlewood symmetric functions and Schur's Q…
Murnaghan-Nakayama rule and spin bitrace for the Hecke-Clifford Algebra
Naihuan Jing, Ning Liu
A Pfaffian-type Murnaghan-Nakayama rule is derived for the Hecke-Clifford algebra based on the Frobenius formula and vertex operators, and this leads to a combina…