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

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)1317-1331
Number of pages15
JournalLetters in Mathematical Physics
Issue number10
Publication statusPublished - Oct 2014


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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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