Schur Function Identities Arising From the Basic Representation of
Abstract
A Lie theoretic interpretation is given for some formulas of Schur functions and Schur Qfunctions. Two realizations of the basic representation of the Lie algebra are considered; one is on the fermionic Fock space and the other is on the bosonic polynomial space. Via the bosonfermion correspondence, simple relations of the vacuum expectation values of fermions turn out to be algebraic relations of Schur functions.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 October 2014
 DOI:
 10.1007/s110050140717y
 arXiv:
 arXiv:1305.1394
 Bibcode:
 2014LMaPh.104.1317M
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Combinatorics;
 Primary: 05E05;
 Secondary: 22E65}
 EPrint:
 14 pages