Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra A1(1)

Takeshi Ikeda; Hiroshi Mizukawa; Tatsuhiro Nakajima; Hiro Fumi Yamada

doi:10.1016/j.aam.2007.05.003

Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra A₁⁽¹⁾

Takeshi Ikeda, Hiroshi Mizukawa^*, Tatsuhiro Nakajima, Hiro Fumi Yamada

^*この研究の対応する著者

研究成果: Article › 査読

5 被引用数 (Scopus)

抄録

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. The proof is achieved by using representations of the affine Lie algebra of type A₁⁽¹⁾. A realization of the basic representation that is of "D₂⁽²⁾"-type plays the central role.

本文言語	English
ページ（範囲）	514-535
ページ数	22
ジャーナル	Advances in Applied Mathematics
巻	40
号	4
DOI	https://doi.org/10.1016/j.aam.2007.05.003
出版ステータス	Published - 2008 5月
外部発表	はい

ASJC Scopus subject areas

応用数学

文献へのアクセス

10.1016/j.aam.2007.05.003

他のファイルとリンク

引用スタイル

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AU - Mizukawa, Hiroshi

AU - Nakajima, Tatsuhiro

AU - Yamada, Hiro Fumi

PY - 2008/5

Y1 - 2008/5

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KW - Boson-fermion correspondence

KW - Schur function

KW - Schur's Q-function

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