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math.RT2005★ 1 cited
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…
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.