13 citations · 24 across the 12 of their papers we have counts for
13 papers
A skew Murnaghan--Nakayama rule for Hopf dual pairs
Naihuan Jing, Ning Liu
We develop a uniform skew Murnaghan--Nakayama theory for graded Hopf dual pairs equipped with a nondegenerate Hopf pairing. Using the completed Cauchy element, its grouplike factor…
Murnaghan-Nakayama rule for the cyclotomic Hecke algebra and applications
Naihuan Jing, Ning Liu
We establish a Murnaghan--Nakayama rule for the irreducible characters of the cyclotomic Hecke algebra on Shoji's standard elements. Combined with Shoji's d…
Dual Murnaghan-Nakayama rule for Hecke algebras in Type
Naihuan Jing, Ning Liu, Yu Wu
Let be the value of the irreducible character of the Hecke algebra of the symmetric group on the conjugacy class of type . The usual Murnaghan-Nakayama rule provid…
On a Pieri-like rule for the Petrie symmetric functions
Emma Yu Jin, Naihuan Jing, Ning Liu
A -ribbon tiling is a decomposition of a connected skew diagram into disjoint ribbons of size . In this paper, we establish a connection between a subset of -ribbon tiling…
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…
Plethystic Murnaghan-Nakayama rule via vertex operators
Yue Cao, Naihuan Jing, Ning Liu
Based on the vertex operator realization of the Schur functions, a determinant-type plethystic Murnaghan--Nakayama rule is obtained and utilized to derive a general formula of the…
On irreducible characters of the Iwahori-Hecke algebra in type
Naihuan Jing, Ning Liu
We use vertex operators to compute irreducible characters of the Iwahori-Hecke algebra of type . Two general formulas are given for the irreducible characters in terms of those…
The Green polynomials via vertex operators
Naihuan Jing, Ning Liu
An iterative formula for the Green polynomial is given using the vertex operator realization of the Hall-Littlewood function. Based on this, (1) a general combinatorial formula of…