Journal of Combinatorics

Volume 10 (2019)

Number 1

Generating functions for shifted symmetric functions

Pages: 111 – 127

DOI: https://dx.doi.org/10.4310/JOC.2019.v10.n1.a5

Authors

Naihuan Jing (Department of Mathematics, North Carolina State University, Raleigh, N.C., U.S.A.)

Natasha Rozhkovskaya (Department of Mathematics, Kansas State University, Manhattan, Ks., U.S.A.)

Abstract

We construct the generating functions for shifted Schur functions and describe their vertex operator realization.

Keywords

vertex operators, Schur functions, generalized symmetric functions, generating functions, Jacobi–Trudi identity, boson–fermion correspondence

2010 Mathematics Subject Classification

Primary 05E05. Secondary 11C20, 17B65, 17B69.

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Naihuan Jing was supported in part by Simons Foundation grant No. 523868 and by NSFC grant No. 11531004.

Received 27 October 2016

Published 7 December 2018