48 citations · 54 across the 6 of their papers we have counts for
6 papers
Schur function identities arising from the basic representation of
Hiroshi Mizukawa, Tatsuhiro Nakajima, Ryoji Seno +1
A Lie theoretic interpretation is given for some formulas of Schur functions and Schur -functions. Two realizations of the basic representation of the Lie algebra ar…
Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra A_1^(1)
Takeshi Ikeda, Hiroshi Mizukawa, Tatsuhiro Nakajima +1
Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of "mixed" products of Schur's S- and Q-functions. Th…
On Reduced Q-Functions
Tatsuhiro Nakajima, Hiro-Fumi Yamada
Schur's -functions with reduced variables are discussed by employing a combinatorics of strict partitions. They are called reduced -functions. We give a description of the li…
Reduced Schur Functions and the Littlewood-Richardson Coefficients
Susumu Ariki, Tatsuhiro Nakajima, Hiro-Fumi Yamada
The reduced Schur functions are studied. Their relations to the basic representation of and modular representations of the symmetric groups are clarified. Littlewood-…
Weight Vectors of the Basic A_1^(1)-Module and the Littlewood-Richardson Rule
Susumu Ariki, Tatsuhiro Nakajima, Hiro-Fumi Yamada
The basic representation of $\A$ is studied. The weight vectors are represented in terms of Schur functions. A suitable base of any weight space is given. Littlewood-Richardson rul…
Basic Representations of A_{2l}^(2) and D_{l+1}^(2) and the Polynomial Solutions to the Reduced BKP Hierarchies
Tatsuhiro Nakajima, Hirofumi Yamada
Basic representations of A_{2l}^(2) and D_{l+1}^(2) are studied. The weight vectors are represented in terms of Schur's -functions. The method to get the polynomial solutions to…