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 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 languageEnglish
Pages (from-to)1317-1331
Number of pages15
JournalLetters in Mathematical Physics
Volume104
Issue number10
DOIs
Publication statusPublished - 2014

Fingerprint

Schur Functions
Fermions
Q-function
Fock Space
fermions
Bosons
Lie Algebra
Vacuum
Correspondence
Polynomial
polynomials
algebra
bosons
vacuum
Interpretation

Keywords

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

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Schur Function Identities Arising From the Basic Representation of A(2)2. / Mizukawa, Hiroshi; Nakajima, Tatsuhiro; Seno, Ryoji; Yamada, Hiro Fumi.

In: Letters in Mathematical Physics, Vol. 104, No. 10, 2014, p. 1317-1331.

Research output: Contribution to journal › Article

Mizukawa, H, Nakajima, T, Seno, R & Yamada, HF 2014, 'Schur Function Identities Arising From the Basic Representation of A(2)2', Letters in Mathematical Physics, vol. 104, no. 10, pp. 1317-1331. https://doi.org/10.1007/s11005-014-0717-y
Mizukawa H, Nakajima T, Seno R, Yamada HF. Schur Function Identities Arising From the Basic Representation of A(2)2. Letters in Mathematical Physics. 2014;104(10):1317-1331. https://doi.org/10.1007/s11005-014-0717-y
Mizukawa, Hiroshi ; Nakajima, Tatsuhiro ; Seno, Ryoji ; Yamada, Hiro Fumi. / Schur Function Identities Arising From the Basic Representation of A(2)2. In: Letters in Mathematical Physics. 2014 ; Vol. 104, No. 10. pp. 1317-1331.
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