Schur Function Identities Arising From the Basic Representation of A(2)2

Hiroshi Mizukawa; Tatsuhiro Nakajima; Ryoji Seno; Hiro Fumi Yamada

doi:10.1007/s11005-014-0717-y

Schur Function Identities Arising From the Basic Representation of A⁽²⁾₂

Hiroshi Mizukawa, Tatsuhiro Nakajima, Ryoji Seno, Hiro Fumi Yamada

理学部

研究成果 › 査読

抄録

A Lie theoretic interpretation is given for some formulas of Schur functions and Schur Q-functions. Two realizations of the basic representation of the Lie algebra A⁽²⁾₂ are considered; one is on the fermionic Fock space and the other is on the bosonic polynomial space. Via the boson-fermion correspondence, simple relations of the vacuum expectation values of fermions turn out to be algebraic relations of Schur functions.

本文言語	English
ページ（範囲）	1317-1331
ページ数	15
ジャーナル	Letters in Mathematical Physics
巻	104
号	10
DOI	https://doi.org/10.1007/s11005-014-0717-y
出版ステータス	Published - 10月 2014

ASJC Scopus subject areas

統計物理学および非線形物理学
数理物理学

文献へのアクセス

10.1007/s11005-014-0717-y

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引用スタイル

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