3 papers
math.RT2005
Elementary divisors of Cartan matrices for symmetric groups
Katsuhiro Uno, Hiro-Fumi Yamada
The purpose of this paper is to give a simple expression of the elementary divisors of the cartan matrices for the symmetric groups.
math.CO2002
Rectangular Schur functions and the basic representation of affine Lie algebras
Hiroshi Mizukawa, Hiro-Fumi Yamada
An expression is given for the plethysm , where is the power sum of degree two and is the Schur function indexed by a rectangular part…
nlin.SI2002
Polynomial τ-functions of the NLS-Toda hierarchy and the Virasoro singular vectors
Takeshi Ikeda, Hiro-Fumi Yamada
A family of polynomial τ-functions for the NLS-Toda hierarchy is constructed. The hierarchy is associated with the homogeneous vertex operator representation of the affine algebra…