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

Faculty of Science

Research output: Contribution to journal › Article

Abstract

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.

Original language	English
Pages (from-to)	1317-1331
Number of pages	15
Journal	Letters in Mathematical Physics
Volume	104
Issue number	10
DOIs	https://doi.org/10.1007/s11005-014-0717-y
Publication status	Published - Oct 2014

Keywords

Boson-fermion correspondence
Schur function
Schur's Q-function

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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Mizukawa, H., Nakajima, T., Seno, R., & Yamada, H. F. (2014). Schur Function Identities Arising From the Basic Representation of A⁽²⁾₂. Letters in Mathematical Physics, 104(10), 1317-1331. https://doi.org/10.1007/s11005-014-0717-y

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