3 papers
math.RT2025
Skew odd orthogonal characters and interpolating Schur polynomials
Naihuan Jing, Zhijun Li, Danxia Wang +1
We introduce two vertex operators to realize skew odd orthogonal characters and derive the Cauchy identity for the skew characters via Toeplitz-Hankel-type dete…
math.RT2023
Kostant's generating functions and McKay-Slodowy correspondence
Naihuan Jing, Zhijun Li, Danxia Wang
Let be a pair of finite subgroups of and a finite-dimensional fundamental -module. We study Kostant's generating functions for the de…
math.QA2018
Poincaré series, exponents of affine Lie algebras, and McKay-Slodowy correspondence
Naihuan Jing, Danxia Wang, Honglian Zhang
Let be a normal subgroup of a finite group and be a fixed finite-dimensional -module. The Poincaré series for the multiplicities of induced modules and restriction m…