Bilinear expansion of Schur functions in Schur $Q$-functions: a fermionic approach
Mathematical Physics
2021-11-30 v5 Combinatorics
Group Theory
math.MP
Rings and Algebras
Exactly Solvable and Integrable Systems
Abstract
An identity is derived expressing Schur functions as sums over products of pairs of Schur -functions, generalizing previously known special cases. This is shown to follow from their representations as vacuum expectation values (VEV's) of products of either charged or neutral fermionic creation and annihilation operators, Wick's theorem and a factorization identity for VEV's of products of two mutually anticommuting sets of neutral fermionic operators.
Keywords
Cite
@article{arxiv.2008.13734,
title = {Bilinear expansion of Schur functions in Schur $Q$-functions: a fermionic approach},
author = {J. Harnad and A. Yu. Orlov},
journal= {arXiv preprint arXiv:2008.13734},
year = {2021}
}
Comments
17 pages. Typos corrected. Title word order changed. References updated