Journal of Combinatorics
Volume 10 (2019)
Generating functions for shifted symmetric functions
Pages: 111 – 127
We construct the generating functions for shifted Schur functions and describe their vertex operator realization.
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.
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