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 |
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Pages (from-to) | 1317-1331 |
Number of pages | 15 |
Journal | Letters in Mathematical Physics |
Volume | 104 |
Issue number | 10 |
DOIs | |
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